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Finding the Third Proportional to 781,000 and 1,060,902

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Solution

The third proportional to 781,000 and 1,060,902 is: 1,441,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,000 : 1,060,902 = 1,060,902 : x
  2. Step 2: Convert to fraction form
    781,000/1,060,902 = 1,060,902/x
  3. Step 3: Cross multiply
    781,000x = 1,060,902 × 1,060,902
  4. Step 4: Simplify right side
    781,000x = 1,125,513,053,604
  5. Step 5: Solve for x
    x = 1,125,513,053,604/781,000
  6. Step 6: Final answer
    x = 1,441,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.