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Finding the Third Proportional to 635,464 and 1,396,872

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Solution

The third proportional to 635,464 and 1,396,872 is: 3,070,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,464 : 1,396,872 = 1,396,872 : x
  2. Step 2: Convert to fraction form
    635,464/1,396,872 = 1,396,872/x
  3. Step 3: Cross multiply
    635,464x = 1,396,872 × 1,396,872
  4. Step 4: Simplify right side
    635,464x = 1,951,251,384,384
  5. Step 5: Solve for x
    x = 1,951,251,384,384/635,464
  6. Step 6: Final answer
    x = 3,070,593.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.