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Finding the Third Proportional to 681,027 and 1,465,974

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Solution

The third proportional to 681,027 and 1,465,974 is: 3,155,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,027 : 1,465,974 = 1,465,974 : x
  2. Step 2: Convert to fraction form
    681,027/1,465,974 = 1,465,974/x
  3. Step 3: Cross multiply
    681,027x = 1,465,974 × 1,465,974
  4. Step 4: Simplify right side
    681,027x = 2,149,079,768,676
  5. Step 5: Solve for x
    x = 2,149,079,768,676/681,027
  6. Step 6: Final answer
    x = 3,155,645.47

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Why These Related Problems?

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