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Finding the Third Proportional to 725,134 and 1,019,331

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Solution

The third proportional to 725,134 and 1,019,331 is: 1,432,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,134 : 1,019,331 = 1,019,331 : x
  2. Step 2: Convert to fraction form
    725,134/1,019,331 = 1,019,331/x
  3. Step 3: Cross multiply
    725,134x = 1,019,331 × 1,019,331
  4. Step 4: Simplify right side
    725,134x = 1,039,035,687,561
  5. Step 5: Solve for x
    x = 1,039,035,687,561/725,134
  6. Step 6: Final answer
    x = 1,432,887.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.