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Finding the Third Proportional to 819,105.75 and 1,282,133.25

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Solution

The third proportional to 819,105.75 and 1,282,133.25 is: 2,006,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,105.75 : 1,282,133.25 = 1,282,133.25 : x
  2. Step 2: Convert to fraction form
    819,105.75/1,282,133.25 = 1,282,133.25/x
  3. Step 3: Cross multiply
    819,105.75x = 1,282,133.25 × 1,282,133.25
  4. Step 4: Simplify right side
    819,105.75x = 1,643,865,670,755.56
  5. Step 5: Solve for x
    x = 1,643,865,670,755.56/819,105.75
  6. Step 6: Final answer
    x = 2,006,902.86

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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.