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Finding the Third Proportional to 451,704 and 891,984

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Solution

The third proportional to 451,704 and 891,984 is: 1,761,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,704 : 891,984 = 891,984 : x
  2. Step 2: Convert to fraction form
    451,704/891,984 = 891,984/x
  3. Step 3: Cross multiply
    451,704x = 891,984 × 891,984
  4. Step 4: Simplify right side
    451,704x = 795,635,456,256
  5. Step 5: Solve for x
    x = 795,635,456,256/451,704
  6. Step 6: Final answer
    x = 1,761,408.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.