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Finding the Third Proportional to 728,744 and 1,600,966

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Solution

The third proportional to 728,744 and 1,600,966 is: 3,517,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,744 : 1,600,966 = 1,600,966 : x
  2. Step 2: Convert to fraction form
    728,744/1,600,966 = 1,600,966/x
  3. Step 3: Cross multiply
    728,744x = 1,600,966 × 1,600,966
  4. Step 4: Simplify right side
    728,744x = 2,563,092,133,156
  5. Step 5: Solve for x
    x = 2,563,092,133,156/728,744
  6. Step 6: Final answer
    x = 3,517,136.52

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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.