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Finding the Third Proportional to 725,483 and 1,569,163

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Solution

The third proportional to 725,483 and 1,569,163 is: 3,393,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,483 : 1,569,163 = 1,569,163 : x
  2. Step 2: Convert to fraction form
    725,483/1,569,163 = 1,569,163/x
  3. Step 3: Cross multiply
    725,483x = 1,569,163 × 1,569,163
  4. Step 4: Simplify right side
    725,483x = 2,462,272,520,569
  5. Step 5: Solve for x
    x = 2,462,272,520,569/725,483
  6. Step 6: Final answer
    x = 3,393,976.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.