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Finding the Third Proportional to 625,565.25 and 1,365,810.75

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Solution

The third proportional to 625,565.25 and 1,365,810.75 is: 2,982,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,565.25 : 1,365,810.75 = 1,365,810.75 : x
  2. Step 2: Convert to fraction form
    625,565.25/1,365,810.75 = 1,365,810.75/x
  3. Step 3: Cross multiply
    625,565.25x = 1,365,810.75 × 1,365,810.75
  4. Step 4: Simplify right side
    625,565.25x = 1,865,439,004,815.56
  5. Step 5: Solve for x
    x = 1,865,439,004,815.56/625,565.25
  6. Step 6: Final answer
    x = 2,982,005.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.