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Finding the Third Proportional to 512,506 and 1,103,744

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Solution

The third proportional to 512,506 and 1,103,744 is: 2,377,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,506 : 1,103,744 = 1,103,744 : x
  2. Step 2: Convert to fraction form
    512,506/1,103,744 = 1,103,744/x
  3. Step 3: Cross multiply
    512,506x = 1,103,744 × 1,103,744
  4. Step 4: Simplify right side
    512,506x = 1,218,250,817,536
  5. Step 5: Solve for x
    x = 1,218,250,817,536/512,506
  6. Step 6: Final answer
    x = 2,377,046.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.