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Finding the Third Proportional to 724,174 and 1,541,902

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Solution

The third proportional to 724,174 and 1,541,902 is: 3,282,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,174 : 1,541,902 = 1,541,902 : x
  2. Step 2: Convert to fraction form
    724,174/1,541,902 = 1,541,902/x
  3. Step 3: Cross multiply
    724,174x = 1,541,902 × 1,541,902
  4. Step 4: Simplify right side
    724,174x = 2,377,461,777,604
  5. Step 5: Solve for x
    x = 2,377,461,777,604/724,174
  6. Step 6: Final answer
    x = 3,282,997.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.