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Finding the Third Proportional to 451,944 and 982,530

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Solution

The third proportional to 451,944 and 982,530 is: 2,136,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,944 : 982,530 = 982,530 : x
  2. Step 2: Convert to fraction form
    451,944/982,530 = 982,530/x
  3. Step 3: Cross multiply
    451,944x = 982,530 × 982,530
  4. Step 4: Simplify right side
    451,944x = 965,365,200,900
  5. Step 5: Solve for x
    x = 965,365,200,900/451,944
  6. Step 6: Final answer
    x = 2,136,028.36

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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.