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Finding the Third Proportional to 726,614 and 1,134,068

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Solution

The third proportional to 726,614 and 1,134,068 is: 1,770,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,614 : 1,134,068 = 1,134,068 : x
  2. Step 2: Convert to fraction form
    726,614/1,134,068 = 1,134,068/x
  3. Step 3: Cross multiply
    726,614x = 1,134,068 × 1,134,068
  4. Step 4: Simplify right side
    726,614x = 1,286,110,228,624
  5. Step 5: Solve for x
    x = 1,286,110,228,624/726,614
  6. Step 6: Final answer
    x = 1,770,004.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.