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Finding the Third Proportional to 866,976.25 and 1,861,782.75

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Solution

The third proportional to 866,976.25 and 1,861,782.75 is: 3,998,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,976.25 : 1,861,782.75 = 1,861,782.75 : x
  2. Step 2: Convert to fraction form
    866,976.25/1,861,782.75 = 1,861,782.75/x
  3. Step 3: Cross multiply
    866,976.25x = 1,861,782.75 × 1,861,782.75
  4. Step 4: Simplify right side
    866,976.25x = 3,466,235,008,197.56
  5. Step 5: Solve for x
    x = 3,466,235,008,197.56/866,976.25
  6. Step 6: Final answer
    x = 3,998,073.77

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Why These Related Problems?

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