Finding the Third Proportional to 414,448 and 916,016
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Solution
The third proportional to 414,448 and 916,016 is: 2,024,585.26
Step by Step Solution
- Step 1: Write the proportion equation
414,448 : 916,016 = 916,016 : x - Step 2: Convert to fraction form
414,448/916,016 = 916,016/x - Step 3: Cross multiply
414,448x = 916,016 × 916,016 - Step 4: Simplify right side
414,448x = 839,085,312,256 - Step 5: Solve for x
x = 839,085,312,256/414,448 - Step 6: Final answer
x = 2,024,585.26
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.