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Finding the Third Proportional to 729,984 and 1,560,850

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Solution

The third proportional to 729,984 and 1,560,850 is: 3,337,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,984 : 1,560,850 = 1,560,850 : x
  2. Step 2: Convert to fraction form
    729,984/1,560,850 = 1,560,850/x
  3. Step 3: Cross multiply
    729,984x = 1,560,850 × 1,560,850
  4. Step 4: Simplify right side
    729,984x = 2,436,252,722,500
  5. Step 5: Solve for x
    x = 2,436,252,722,500/729,984
  6. Step 6: Final answer
    x = 3,337,405.65

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