# Mark's geometric mean

If two numbers have arithmetic mean 2700 and harmonic mean 75, then find their geometric mean.


Note:

• The arithmetic mean of two numbers $a$ and $b$ is $\frac{a+b}2$.
• The harmonic mean of two numbers $a$ and $b$ is $\frac2{\frac1{a} + \frac1{b}}$.
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