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Finding the Third Proportional to 981,170 and 2,104,179.50

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Solution

The third proportional to 981,170 and 2,104,179.50 is: 4,512,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,170 : 2,104,179.50 = 2,104,179.50 : x
  2. Step 2: Convert to fraction form
    981,170/2,104,179.50 = 2,104,179.50/x
  3. Step 3: Cross multiply
    981,170x = 2,104,179.50 × 2,104,179.50
  4. Step 4: Simplify right side
    981,170x = 4,427,571,368,220.25
  5. Step 5: Solve for x
    x = 4,427,571,368,220.25/981,170
  6. Step 6: Final answer
    x = 4,512,542.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.