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Finding the Third Proportional to 486,124 and 735,902

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Solution

The third proportional to 486,124 and 735,902 is: 1,114,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,124 : 735,902 = 735,902 : x
  2. Step 2: Convert to fraction form
    486,124/735,902 = 735,902/x
  3. Step 3: Cross multiply
    486,124x = 735,902 × 735,902
  4. Step 4: Simplify right side
    486,124x = 541,551,753,604
  5. Step 5: Solve for x
    x = 541,551,753,604/486,124
  6. Step 6: Final answer
    x = 1,114,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.