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Finding the Third Proportional to 725,082 and 1,580,163

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Solution

The third proportional to 725,082 and 1,580,163 is: 3,443,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,082 : 1,580,163 = 1,580,163 : x
  2. Step 2: Convert to fraction form
    725,082/1,580,163 = 1,580,163/x
  3. Step 3: Cross multiply
    725,082x = 1,580,163 × 1,580,163
  4. Step 4: Simplify right side
    725,082x = 2,496,915,106,569
  5. Step 5: Solve for x
    x = 2,496,915,106,569/725,082
  6. Step 6: Final answer
    x = 3,443,631.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.