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Finding the Third Proportional to 982,692 and 2,131,272

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Solution

The third proportional to 982,692 and 2,131,272 is: 4,622,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,692 : 2,131,272 = 2,131,272 : x
  2. Step 2: Convert to fraction form
    982,692/2,131,272 = 2,131,272/x
  3. Step 3: Cross multiply
    982,692x = 2,131,272 × 2,131,272
  4. Step 4: Simplify right side
    982,692x = 4,542,320,337,984
  5. Step 5: Solve for x
    x = 4,542,320,337,984/982,692
  6. Step 6: Final answer
    x = 4,622,323.51

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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.