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Finding the Third Proportional to 658,378.13 and 1,414,963.69

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Solution

The third proportional to 658,378.13 and 1,414,963.69 is: 3,040,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,378.13 : 1,414,963.69 = 1,414,963.69 : x
  2. Step 2: Convert to fraction form
    658,378.13/1,414,963.69 = 1,414,963.69/x
  3. Step 3: Cross multiply
    658,378.13x = 1,414,963.69 × 1,414,963.69
  4. Step 4: Simplify right side
    658,378.13x = 2,002,122,236,943.60
  5. Step 5: Solve for x
    x = 2,002,122,236,943.60/658,378.13
  6. Step 6: Final answer
    x = 3,040,991.43

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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.