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Finding the Third Proportional to 726,616 and 1,134,076

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Solution

The third proportional to 726,616 and 1,134,076 is: 1,770,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,616 : 1,134,076 = 1,134,076 : x
  2. Step 2: Convert to fraction form
    726,616/1,134,076 = 1,134,076/x
  3. Step 3: Cross multiply
    726,616x = 1,134,076 × 1,134,076
  4. Step 4: Simplify right side
    726,616x = 1,286,128,373,776
  5. Step 5: Solve for x
    x = 1,286,128,373,776/726,616
  6. Step 6: Final answer
    x = 1,770,024.85

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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.