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Finding the Third Proportional to 659,112 and 1,439,040

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Solution

The third proportional to 659,112 and 1,439,040 is: 3,141,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,112 : 1,439,040 = 1,439,040 : x
  2. Step 2: Convert to fraction form
    659,112/1,439,040 = 1,439,040/x
  3. Step 3: Cross multiply
    659,112x = 1,439,040 × 1,439,040
  4. Step 4: Simplify right side
    659,112x = 2,070,836,121,600
  5. Step 5: Solve for x
    x = 2,070,836,121,600/659,112
  6. Step 6: Final answer
    x = 3,141,857.71

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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.