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Finding the Third Proportional to 451,652 and 981,302

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Solution

The third proportional to 451,652 and 981,302 is: 2,132,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,652 : 981,302 = 981,302 : x
  2. Step 2: Convert to fraction form
    451,652/981,302 = 981,302/x
  3. Step 3: Cross multiply
    451,652x = 981,302 × 981,302
  4. Step 4: Simplify right side
    451,652x = 962,953,615,204
  5. Step 5: Solve for x
    x = 962,953,615,204/451,652
  6. Step 6: Final answer
    x = 2,132,069.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.