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Finding the Third Proportional to 381,746 and 862,469

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Solution

The third proportional to 381,746 and 862,469 is: 1,948,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,746 : 862,469 = 862,469 : x
  2. Step 2: Convert to fraction form
    381,746/862,469 = 862,469/x
  3. Step 3: Cross multiply
    381,746x = 862,469 × 862,469
  4. Step 4: Simplify right side
    381,746x = 743,852,775,961
  5. Step 5: Solve for x
    x = 743,852,775,961/381,746
  6. Step 6: Final answer
    x = 1,948,554.21

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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.