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Finding the Third Proportional to 381,748 and 862,474

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Solution

The third proportional to 381,748 and 862,474 is: 1,948,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,748 : 862,474 = 862,474 : x
  2. Step 2: Convert to fraction form
    381,748/862,474 = 862,474/x
  3. Step 3: Cross multiply
    381,748x = 862,474 × 862,474
  4. Step 4: Simplify right side
    381,748x = 743,861,400,676
  5. Step 5: Solve for x
    x = 743,861,400,676/381,748
  6. Step 6: Final answer
    x = 1,948,566.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.