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Finding the Third Proportional to 638,496 and 1,396,656

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Solution

The third proportional to 638,496 and 1,396,656 is: 3,055,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,496 : 1,396,656 = 1,396,656 : x
  2. Step 2: Convert to fraction form
    638,496/1,396,656 = 1,396,656/x
  3. Step 3: Cross multiply
    638,496x = 1,396,656 × 1,396,656
  4. Step 4: Simplify right side
    638,496x = 1,950,647,982,336
  5. Step 5: Solve for x
    x = 1,950,647,982,336/638,496
  6. Step 6: Final answer
    x = 3,055,066.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.