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Finding the Third Proportional to 863,154.25 and 1,306,727.38

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Solution

The third proportional to 863,154.25 and 1,306,727.38 is: 1,978,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,154.25 : 1,306,727.38 = 1,306,727.38 : x
  2. Step 2: Convert to fraction form
    863,154.25/1,306,727.38 = 1,306,727.38/x
  3. Step 3: Cross multiply
    863,154.25x = 1,306,727.38 × 1,306,727.38
  4. Step 4: Simplify right side
    863,154.25x = 1,707,536,432,574.39
  5. Step 5: Solve for x
    x = 1,707,536,432,574.39/863,154.25
  6. Step 6: Final answer
    x = 1,978,251.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.