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Nice to meet you too! I'm doing well, thank you. How about you? How's your day going?... more

Nice to meet you too! I'm doing well, thank you. How about you? How's your day going?
Your sentence is mostly correct but can be slightly improved for naturalness and flow:
"Hi, nice to meet you! How are you doing today?"
Tips:
1. Use a greeting like "Hi" or "Hello" to start.
2. Add an exclamation mark after "nice to meet you" to convey friendliness.
3. Keep "How are you doing today?" as it is polite and clear.
Alternatively:
"Hello, nice to meet you. How are you today?"
Both are natural and polite ways to greet someone.