"adjust to one another" is correct and usable in written English.
It can be used when two or more people or things have to change or adapt to be able to co-exist or to successfully work together. For example, "The two teams had to adjust to one another in order to reach a successful outcome."
The amusing Gunmen don't have to adjust to one another; the ensemble has a comfortable feeling.
The opposites of hot and cold do not disappear, they adjust to one another and only then they are able to feed the land.
And perhaps this is key to the success of the projects: bringing two alien worlds together and forcing them to interact, adjust to one another, and forge a new identity.
In some neighborhoods, the issue of subsidized housing can still stir passions, partly because people have not had much time to adjust to one another, partly because people mistrust government.
Politics is how people adjust to one another's needs and potential for violence.
The market means letting buyers and sellers adjust to one another's views and demands: education is available to people who can afford it, medicine is available to those who can afford it.
Or maybe it's a community, a place given coherence by the rough serendipity of strangers adjusting to one another's presence.
By truly coming together, opening our ears and eyes to one another, not changing one another but adjusting to one another, then we can care for our community, our country and ourselves.
Then you can watch the two strangers go through their rituals of acquaintance and adjusting to one another, rites of passage as it were.
Or we could just admit these are normal kids struggling to adjust to one of life's universal challenges.
Taken together, these studies suggest that tagging and shop theft comprise a complex system, made up of interdependent individuals and organisations that adjust and adapt to one another.
