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Finding the Third Proportional to 383,870 and 826,060

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Solution

The third proportional to 383,870 and 826,060 is: 1,777,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,870 : 826,060 = 826,060 : x
  2. Step 2: Convert to fraction form
    383,870/826,060 = 826,060/x
  3. Step 3: Cross multiply
    383,870x = 826,060 × 826,060
  4. Step 4: Simplify right side
    383,870x = 682,375,123,600
  5. Step 5: Solve for x
    x = 682,375,123,600/383,870
  6. Step 6: Final answer
    x = 1,777,620.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.