Simplify the ratio. $$ \begin{array}{r}720 \mathrm{sec}: 24 \mathrm{~min}: 1440 \mathrm{sec} \ = \ \square\end{array} $$

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UpStudy AI · Accepted Answer

1. **Convert all quantities to seconds:**  
   Note that $$24$$ minutes can be expressed in seconds by multiplying by $$60$$:
   $$
   24 \text{ min} = 24 \times 60 = 1440 \text{ sec}
   $$
   So, the ratio becomes:
   $$
   720 \text{ sec} : 1440 \text{ sec} : 1440 \text{ sec}
   $$

2. **Simplify the ratio:**  
   Divide each term in the ratio by $$720$$ (the greatest common divisor):
   $$
   \frac{720}{720} : \frac{1440}{720} : \frac{1440}{720} = 1 : 2 : 2
   $$

Thus, the simplified ratio is:
$$
\boxed{1 : 2 : 2}
$$
The simplified ratio is $$1 : 2 : 2$$.

Simplify the ratio.

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