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Finding the Third Proportional to 729,975 and 1,560,831

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Solution

The third proportional to 729,975 and 1,560,831 is: 3,337,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,975 : 1,560,831 = 1,560,831 : x
  2. Step 2: Convert to fraction form
    729,975/1,560,831 = 1,560,831/x
  3. Step 3: Cross multiply
    729,975x = 1,560,831 × 1,560,831
  4. Step 4: Simplify right side
    729,975x = 2,436,193,410,561
  5. Step 5: Solve for x
    x = 2,436,193,410,561/729,975
  6. Step 6: Final answer
    x = 3,337,365.54

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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.