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Finding the Third Proportional to 725,468.91 and 1,569,134.53

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Solution

The third proportional to 725,468.91 and 1,569,134.53 is: 3,393,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,468.91 : 1,569,134.53 = 1,569,134.53 : x
  2. Step 2: Convert to fraction form
    725,468.91/1,569,134.53 = 1,569,134.53/x
  3. Step 3: Cross multiply
    725,468.91x = 1,569,134.53 × 1,569,134.53
  4. Step 4: Simplify right side
    725,468.91x = 2,462,183,177,161.16
  5. Step 5: Solve for x
    x = 2,462,183,177,161.16/725,468.91
  6. Step 6: Final answer
    x = 3,393,919.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.