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Finding the Third Proportional to 819,142.88 and 1,282,194.56

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Solution

The third proportional to 819,142.88 and 1,282,194.56 is: 2,007,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,142.88 : 1,282,194.56 = 1,282,194.56 : x
  2. Step 2: Convert to fraction form
    819,142.88/1,282,194.56 = 1,282,194.56/x
  3. Step 3: Cross multiply
    819,142.88x = 1,282,194.56 × 1,282,194.56
  4. Step 4: Simplify right side
    819,142.88x = 1,644,022,896,104.57
  5. Step 5: Solve for x
    x = 1,644,022,896,104.57/819,142.88
  6. Step 6: Final answer
    x = 2,007,003.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.