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Finding the Third Proportional to 657,164 and 939,730

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Solution

The third proportional to 657,164 and 939,730 is: 1,343,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,164 : 939,730 = 939,730 : x
  2. Step 2: Convert to fraction form
    657,164/939,730 = 939,730/x
  3. Step 3: Cross multiply
    657,164x = 939,730 × 939,730
  4. Step 4: Simplify right side
    657,164x = 883,092,472,900
  5. Step 5: Solve for x
    x = 883,092,472,900/657,164
  6. Step 6: Final answer
    x = 1,343,793.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.