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Finding the Third Proportional to 416,563 and 862,663

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Solution

The third proportional to 416,563 and 862,663 is: 1,786,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,563 : 862,663 = 862,663 : x
  2. Step 2: Convert to fraction form
    416,563/862,663 = 862,663/x
  3. Step 3: Cross multiply
    416,563x = 862,663 × 862,663
  4. Step 4: Simplify right side
    416,563x = 744,187,451,569
  5. Step 5: Solve for x
    x = 744,187,451,569/416,563
  6. Step 6: Final answer
    x = 1,786,494.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.