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Finding the Third Proportional to 729,978 and 1,560,837

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Solution

The third proportional to 729,978 and 1,560,837 is: 3,337,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,978 : 1,560,837 = 1,560,837 : x
  2. Step 2: Convert to fraction form
    729,978/1,560,837 = 1,560,837/x
  3. Step 3: Cross multiply
    729,978x = 1,560,837 × 1,560,837
  4. Step 4: Simplify right side
    729,978x = 2,436,212,140,569
  5. Step 5: Solve for x
    x = 2,436,212,140,569/729,978
  6. Step 6: Final answer
    x = 3,337,377.48

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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.