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Finding the Third Proportional to 381,792 and 862,584

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Solution

The third proportional to 381,792 and 862,584 is: 1,948,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,792 : 862,584 = 862,584 : x
  2. Step 2: Convert to fraction form
    381,792/862,584 = 862,584/x
  3. Step 3: Cross multiply
    381,792x = 862,584 × 862,584
  4. Step 4: Simplify right side
    381,792x = 744,051,157,056
  5. Step 5: Solve for x
    x = 744,051,157,056/381,792
  6. Step 6: Final answer
    x = 1,948,839.05

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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.