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Finding the Third Proportional to 724,704 and 1,197,756

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Solution

The third proportional to 724,704 and 1,197,756 is: 1,979,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,704 : 1,197,756 = 1,197,756 : x
  2. Step 2: Convert to fraction form
    724,704/1,197,756 = 1,197,756/x
  3. Step 3: Cross multiply
    724,704x = 1,197,756 × 1,197,756
  4. Step 4: Simplify right side
    724,704x = 1,434,619,435,536
  5. Step 5: Solve for x
    x = 1,434,619,435,536/724,704
  6. Step 6: Final answer
    x = 1,979,593.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.