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The phrase "will amount to approximately" is correct and usable in written English.
It can be used when estimating a total or value that is not exact but close to a specific figure.
Example: "The total cost of the project will amount to approximately $10,000."
Alternatives: "will be roughly" or "will total around".
Exact(1)
The time expenditure will amount to approximately 2.5-3 h per appointment.
Similar(57)
Total costs of building the three missile destroyers in Australia will amount to more than $9bn, approximately three times the cost of buying the ships ready made from Spanish company Navantia, The Australian reported on Friday.
See this from official Puerto Rican government documents:It is projected that for fiscal year 2014, revenues from Act 154 will amount to $1.956 billion and constitute approximately 20.5% of the total revenues of the General Fund.(The General Fund, in effect, is Puerto Rico's government budget).Other troubled economies, of course, have received much more money.
Your work will amount to nothing.
(Her legal fees already amount to approximately two hundred thousand dollars).
Keane, which is based in Boston, will also assume Metro's debt, which as of July amounted to approximately $68 million.
Before beginning the project, his repertoire amounted to approximately 240 songs, so to complete the whole year he will have to learn half as many again.
It said: "This proposal will affect the employment of all Wincanton employees at these sites and their associated outbases, which amounts to approximately 450 at Gloucester and 415 at Trafford Park.
Spirent will pay Hekimian's parent company, Sweden's Axel Johnson, $712 million in cash in addition to Spirent shares valued at $863 million, which amounts to approximately 11% of the company.
Wastewater treatment amounts to approximately 3% of all electricity used in the US.
In 2005, used or unwanted electronics amounted to approximately 1.9 million to 2.2 million tons of waste in the United States.
More suggestions(12)
will lead to approximately
will equate to approximately
will decrease to approximately
will grow to approximately
will jump to approximately
will decline to approximately
will expand to approximately
will increase to approximately
will rise to approximately
will reduce to approximately
will work to approximately
will amount to said
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com