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Finding the Third Proportional to 982,373 and 1,467,493

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Solution

The third proportional to 982,373 and 1,467,493 is: 2,192,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,373 : 1,467,493 = 1,467,493 : x
  2. Step 2: Convert to fraction form
    982,373/1,467,493 = 1,467,493/x
  3. Step 3: Cross multiply
    982,373x = 1,467,493 × 1,467,493
  4. Step 4: Simplify right side
    982,373x = 2,153,535,705,049
  5. Step 5: Solve for x
    x = 2,153,535,705,049/982,373
  6. Step 6: Final answer
    x = 2,192,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.