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Finding the Third Proportional to 635,427 and 1,396,800

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Solution

The third proportional to 635,427 and 1,396,800 is: 3,070,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,427 : 1,396,800 = 1,396,800 : x
  2. Step 2: Convert to fraction form
    635,427/1,396,800 = 1,396,800/x
  3. Step 3: Cross multiply
    635,427x = 1,396,800 × 1,396,800
  4. Step 4: Simplify right side
    635,427x = 1,951,050,240,000
  5. Step 5: Solve for x
    x = 1,951,050,240,000/635,427
  6. Step 6: Final answer
    x = 3,070,455.36

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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.