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Finding the Third Proportional to 451,722 and 982,173

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Solution

The third proportional to 451,722 and 982,173 is: 2,135,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,722 : 982,173 = 982,173 : x
  2. Step 2: Convert to fraction form
    451,722/982,173 = 982,173/x
  3. Step 3: Cross multiply
    451,722x = 982,173 × 982,173
  4. Step 4: Simplify right side
    451,722x = 964,663,801,929
  5. Step 5: Solve for x
    x = 964,663,801,929/451,722
  6. Step 6: Final answer
    x = 2,135,525.39

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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.