Finding the Third Proportional to 422,446 and 654,542
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Solution
The third proportional to 422,446 and 654,542 is: 1,014,153.83
Step by Step Solution
- Step 1: Write the proportion equation
422,446 : 654,542 = 654,542 : x - Step 2: Convert to fraction form
422,446/654,542 = 654,542/x - Step 3: Cross multiply
422,446x = 654,542 × 654,542 - Step 4: Simplify right side
422,446x = 428,425,229,764 - Step 5: Solve for x
x = 428,425,229,764/422,446 - Step 6: Final answer
x = 1,014,153.83
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.