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Finding the Third Proportional to 632,788 and 1,375,016

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Solution

The third proportional to 632,788 and 1,375,016 is: 2,987,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,788 : 1,375,016 = 1,375,016 : x
  2. Step 2: Convert to fraction form
    632,788/1,375,016 = 1,375,016/x
  3. Step 3: Cross multiply
    632,788x = 1,375,016 × 1,375,016
  4. Step 4: Simplify right side
    632,788x = 1,890,669,000,256
  5. Step 5: Solve for x
    x = 1,890,669,000,256/632,788
  6. Step 6: Final answer
    x = 2,987,839.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.