What does “nice to meet you” mean?

A polite formula said when you are introduced to someone or meet them for the first time.

How is “nice to meet you” used?

In The Longest Day (1962), one line is: “Most kind of you. Very nice to meet you...”

The clip at the top of this page is from The Longest Day (1962).

Most kind of you. Very nice to meet you...

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