The moment of inertia is given by the formula $I = \frac{2}{5}mr^2$, where $m$ is the mass of the Moon and $r$ is the radius of the Moon. Substituting the given values, we get $I = \frac{2}{5} \times 7.35 \times 10^{22} \times (1.74 \times 10^6)^2$.
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