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Finding the Third Proportional to 635,262.75 and 1,396,467

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Solution

The third proportional to 635,262.75 and 1,396,467 is: 3,069,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,262.75 : 1,396,467 = 1,396,467 : x
  2. Step 2: Convert to fraction form
    635,262.75/1,396,467 = 1,396,467/x
  3. Step 3: Cross multiply
    635,262.75x = 1,396,467 × 1,396,467
  4. Step 4: Simplify right side
    635,262.75x = 1,950,120,082,089
  5. Step 5: Solve for x
    x = 1,950,120,082,089/635,262.75
  6. Step 6: Final answer
    x = 3,069,785.03

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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.