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Finding the Third Proportional to 768,874 and 1,651,404

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Solution

The third proportional to 768,874 and 1,651,404 is: 3,546,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,874 : 1,651,404 = 1,651,404 : x
  2. Step 2: Convert to fraction form
    768,874/1,651,404 = 1,651,404/x
  3. Step 3: Cross multiply
    768,874x = 1,651,404 × 1,651,404
  4. Step 4: Simplify right side
    768,874x = 2,727,135,171,216
  5. Step 5: Solve for x
    x = 2,727,135,171,216/768,874
  6. Step 6: Final answer
    x = 3,546,920.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.