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Finding the Third Proportional to 1,198,067.25 and 2,578,818.75

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Solution

The third proportional to 1,198,067.25 and 2,578,818.75 is: 5,550,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,067.25 : 2,578,818.75 = 2,578,818.75 : x
  2. Step 2: Convert to fraction form
    1,198,067.25/2,578,818.75 = 2,578,818.75/x
  3. Step 3: Cross multiply
    1,198,067.25x = 2,578,818.75 × 2,578,818.75
  4. Step 4: Simplify right side
    1,198,067.25x = 6,650,306,145,351.56
  5. Step 5: Solve for x
    x = 6,650,306,145,351.56/1,198,067.25
  6. Step 6: Final answer
    x = 5,550,862.15

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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.