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Finding the Third Proportional to 816,286.50 and 1,906,161.75

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Solution

The third proportional to 816,286.50 and 1,906,161.75 is: 4,451,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,286.50 : 1,906,161.75 = 1,906,161.75 : x
  2. Step 2: Convert to fraction form
    816,286.50/1,906,161.75 = 1,906,161.75/x
  3. Step 3: Cross multiply
    816,286.50x = 1,906,161.75 × 1,906,161.75
  4. Step 4: Simplify right side
    816,286.50x = 3,633,452,617,163.06
  5. Step 5: Solve for x
    x = 3,633,452,617,163.06/816,286.50
  6. Step 6: Final answer
    x = 4,451,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.