The phrase "approached one another" is correct and usable in written English.
It can be used to describe two or more entities moving closer to each other, either physically or metaphorically.
Example: "As the two teams approached one another on the field, the tension in the air was palpable."
Alternatives: "came closer to each other" or "moved towards each other".
In the simulations, when the storms approached one another, the "vortices would quickly merge together," he said.
On Saturday night, a young polyglot crowd, shouting happily in several languages, looked comfortable as people approached one another at the Bunyanesque bar.
As well as creating a female hero, Wynne Jones intended "to write a book in which modern life and heroic mythical events approached one another so closely that they were nearly impossible to separate", and the style with which she evokes the magic buried in the everyday always makes me see the world sharply afresh.
The program revealed the high-intensity with which the skhothanes approached one another, and themselves, including the tearing of money, the biting of iPhones, the stomping on designer shirts and buckets of KFC chicken, all set to the tune of a restless kwaito, hip-hop, or house beat while a crowd of hangers-on and supporters sip on expensive whisky and cheer for their chosen crews.
With both captains determined on battle, the frigates approached one another rapidly on opposing tacks.
They discovered that quarks were so tightly bound together that they could not be separated as individual particles but that the closer quarks approached one another, the weaker the strong force became.
In particular, in a head-on collision, two RNA polymerases approaching one another on the same DNA may pass by one another [ 6].
The characters approach one another gingerly and speak slowly, with long pauses.
One watercolour, of sign-like arrows approaching one another, has the same blank assertiveness and humour of an Ed Ruscha.
Men and women approach one another in familiar ways in Fellini's movies and, at the same time, from a great and fantastic remove.
Strangers are venturing to approach one another to ask about protests signs, or to find out where the marches are happening.
