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Finding the Third Proportional to 981,913.50 and 1,523,949

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Solution

The third proportional to 981,913.50 and 1,523,949 is: 2,365,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,913.50 : 1,523,949 = 1,523,949 : x
  2. Step 2: Convert to fraction form
    981,913.50/1,523,949 = 1,523,949/x
  3. Step 3: Cross multiply
    981,913.50x = 1,523,949 × 1,523,949
  4. Step 4: Simplify right side
    981,913.50x = 2,322,420,554,601
  5. Step 5: Solve for x
    x = 2,322,420,554,601/981,913.50
  6. Step 6: Final answer
    x = 2,365,198.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.