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Finding the Third Proportional to 518,142.25 and 1,221,388.75

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Solution

The third proportional to 518,142.25 and 1,221,388.75 is: 2,879,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,142.25 : 1,221,388.75 = 1,221,388.75 : x
  2. Step 2: Convert to fraction form
    518,142.25/1,221,388.75 = 1,221,388.75/x
  3. Step 3: Cross multiply
    518,142.25x = 1,221,388.75 × 1,221,388.75
  4. Step 4: Simplify right side
    518,142.25x = 1,491,790,478,626.56
  5. Step 5: Solve for x
    x = 1,491,790,478,626.56/518,142.25
  6. Step 6: Final answer
    x = 2,879,113.75

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.