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Finding the Third Proportional to 600,600 and 1,305,744

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Solution

The third proportional to 600,600 and 1,305,744 is: 2,838,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,600 : 1,305,744 = 1,305,744 : x
  2. Step 2: Convert to fraction form
    600,600/1,305,744 = 1,305,744/x
  3. Step 3: Cross multiply
    600,600x = 1,305,744 × 1,305,744
  4. Step 4: Simplify right side
    600,600x = 1,704,967,393,536
  5. Step 5: Solve for x
    x = 1,704,967,393,536/600,600
  6. Step 6: Final answer
    x = 2,838,773.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.