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Finding the Third Proportional to 381,756 and 862,494

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Solution

The third proportional to 381,756 and 862,494 is: 1,948,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,756 : 862,494 = 862,494 : x
  2. Step 2: Convert to fraction form
    381,756/862,494 = 862,494/x
  3. Step 3: Cross multiply
    381,756x = 862,494 × 862,494
  4. Step 4: Simplify right side
    381,756x = 743,895,900,036
  5. Step 5: Solve for x
    x = 743,895,900,036/381,756
  6. Step 6: Final answer
    x = 1,948,616.13

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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.