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Finding the Third Proportional to 729,022 and 1,569,800

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Solution

The third proportional to 729,022 and 1,569,800 is: 3,380,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,022 : 1,569,800 = 1,569,800 : x
  2. Step 2: Convert to fraction form
    729,022/1,569,800 = 1,569,800/x
  3. Step 3: Cross multiply
    729,022x = 1,569,800 × 1,569,800
  4. Step 4: Simplify right side
    729,022x = 2,464,272,040,000
  5. Step 5: Solve for x
    x = 2,464,272,040,000/729,022
  6. Step 6: Final answer
    x = 3,380,243.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.