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Finding the Third Proportional to 726,741 and 1,115,535

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Solution

The third proportional to 726,741 and 1,115,535 is: 1,712,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,741 : 1,115,535 = 1,115,535 : x
  2. Step 2: Convert to fraction form
    726,741/1,115,535 = 1,115,535/x
  3. Step 3: Cross multiply
    726,741x = 1,115,535 × 1,115,535
  4. Step 4: Simplify right side
    726,741x = 1,244,418,336,225
  5. Step 5: Solve for x
    x = 1,244,418,336,225/726,741
  6. Step 6: Final answer
    x = 1,712,327.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.