Finding the Third Proportional to 414,330 and 902,466
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Solution
The third proportional to 414,330 and 902,466 is: 1,965,691.31
Step by Step Solution
- Step 1: Write the proportion equation
414,330 : 902,466 = 902,466 : x - Step 2: Convert to fraction form
414,330/902,466 = 902,466/x - Step 3: Cross multiply
414,330x = 902,466 × 902,466 - Step 4: Simplify right side
414,330x = 814,444,881,156 - Step 5: Solve for x
x = 814,444,881,156/414,330 - Step 6: Final answer
x = 1,965,691.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.