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Finding the Third Proportional to 729,972 and 1,560,825

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Solution

The third proportional to 729,972 and 1,560,825 is: 3,337,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,972 : 1,560,825 = 1,560,825 : x
  2. Step 2: Convert to fraction form
    729,972/1,560,825 = 1,560,825/x
  3. Step 3: Cross multiply
    729,972x = 1,560,825 × 1,560,825
  4. Step 4: Simplify right side
    729,972x = 2,436,174,680,625
  5. Step 5: Solve for x
    x = 2,436,174,680,625/729,972
  6. Step 6: Final answer
    x = 3,337,353.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.