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In one in five marriages of each group, both spouses were college graduates.
In a 1986 survey, nearly three in 10 Americans said intermarriage was not acceptable for anyone, and 37% said it might be acceptable for others, but not for themselves.
Only one-third of the public said it was acceptable for everyone in the 1986 poll.
That drops to 14% in the South, 13% in the Northeast and 11% in the Midwest.
Because whites are by far the nation's largest racial group, marriage between whites and minorities were the most common type of intermarriage, even though the intermarriage rate for whites is relatively low compared to other races or ethnicities, the study said.
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Meanwhile, about 43% of Americans said they believe more intermarriages is a change for the better within society, while only about one in 10 said it was a change for the worse, the Pew Center said.