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Finding the Third Proportional to 413,892 and 886,812

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Solution

The third proportional to 413,892 and 886,812 is: 1,900,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,892 : 886,812 = 886,812 : x
  2. Step 2: Convert to fraction form
    413,892/886,812 = 886,812/x
  3. Step 3: Cross multiply
    413,892x = 886,812 × 886,812
  4. Step 4: Simplify right side
    413,892x = 786,435,523,344
  5. Step 5: Solve for x
    x = 786,435,523,344/413,892
  6. Step 6: Final answer
    x = 1,900,098.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.