Finding the Third Proportional to 414,396 and 903,744
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Solution
The third proportional to 414,396 and 903,744 is: 1,970,948.60
Step by Step Solution
- Step 1: Write the proportion equation
414,396 : 903,744 = 903,744 : x - Step 2: Convert to fraction form
414,396/903,744 = 903,744/x - Step 3: Cross multiply
414,396x = 903,744 × 903,744 - Step 4: Simplify right side
414,396x = 816,753,217,536 - Step 5: Solve for x
x = 816,753,217,536/414,396 - Step 6: Final answer
x = 1,970,948.60
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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.