The phrase "a significant majority of the" is correct and usable in written English.
It can be used when discussing a large portion or percentage of a particular group or category in a formal or academic context.
Example: "A significant majority of the participants agreed with the proposed changes to the policy."
Alternatives: "a large portion of the" or "a considerable number of the".
"On virtually every major issue impacting the American people, it turns out that a significant majority of the American people support the progressive agenda.
The referendum, which was conducted relatively peacefully, passed with a significant majority of the vote.
For decades, the Lake Superior Iron District produced a significant majority of the world's iron used in steel production.
A significant majority of the Robina JD Scholars who have graduated from the Law School have secured jobs or fellowships in the international human rights field.
"However, there are good reasons for believing that a significant majority of the prison population has a profile on the national DNA database," he said.
She said cutting the maximum stake had support from all political parties, both houses of parliament and "a significant majority of the public".
As a significant majority of the studies have been summarized as reports, an effort has been made to chronologically review the literature with the above objectives.
"I have the commitments of a significant majority of the United States Senate to make that good law even better," he said.
Samuelson added: "Our structure means we cannot be bought, moved or sold by anyone without a significant majority of the membership agreeing.
Women are expected to make up a significant majority of the Democratic primary electorate — close to 60 percent — and their choices will shape the outcome.
When faced with living, breathing opponents instead of a target, a significant majority of the soldiers revert to a posturing mode in which they fire over the enemy's heads.
