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Finding the Third Proportional to 728,759 and 1,600,996

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Solution

The third proportional to 728,759 and 1,600,996 is: 3,517,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,759 : 1,600,996 = 1,600,996 : x
  2. Step 2: Convert to fraction form
    728,759/1,600,996 = 1,600,996/x
  3. Step 3: Cross multiply
    728,759x = 1,600,996 × 1,600,996
  4. Step 4: Simplify right side
    728,759x = 2,563,188,192,016
  5. Step 5: Solve for x
    x = 2,563,188,192,016/728,759
  6. Step 6: Final answer
    x = 3,517,195.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.