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Finding the Third Proportional to 981,541 and 1,473,350

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Solution

The third proportional to 981,541 and 1,473,350 is: 2,211,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,541 : 1,473,350 = 1,473,350 : x
  2. Step 2: Convert to fraction form
    981,541/1,473,350 = 1,473,350/x
  3. Step 3: Cross multiply
    981,541x = 1,473,350 × 1,473,350
  4. Step 4: Simplify right side
    981,541x = 2,170,760,222,500
  5. Step 5: Solve for x
    x = 2,170,760,222,500/981,541
  6. Step 6: Final answer
    x = 2,211,583.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.