Finding the Third Proportional to 657,436 and 1,414,743
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Solution
The third proportional to 657,436 and 1,414,743 is: 3,044,399.39
Step by Step Solution
- Step 1: Write the proportion equation
657,436 : 1,414,743 = 1,414,743 : x - Step 2: Convert to fraction form
657,436/1,414,743 = 1,414,743/x - Step 3: Cross multiply
657,436x = 1,414,743 × 1,414,743 - Step 4: Simplify right side
657,436x = 2,001,497,756,049 - Step 5: Solve for x
x = 2,001,497,756,049/657,436 - Step 6: Final answer
x = 3,044,399.39
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.