
Make somebody’s acquaintance
Polite Introduction
Used in polite or formal situations when meeting someone new, implying respect and a desire to know them.

It's a pleasure to make your acquaintance, Professor Higgins.
First Encounter
Emphasizes the first time you meet someone. It isn't used for someone you've met before.

Upon entering the meeting room, I was delighted to make your acquaintance.
Slightly Formal
Though polite, the phrase can come off as slightly formal or old-fashioned in casual settings.

I'm Noah, and I'm thrilled to make your acquaintance.
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