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Finding the Third Proportional to 451,785 and 982,266

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Solution

The third proportional to 451,785 and 982,266 is: 2,135,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,785 : 982,266 = 982,266 : x
  2. Step 2: Convert to fraction form
    451,785/982,266 = 982,266/x
  3. Step 3: Cross multiply
    451,785x = 982,266 × 982,266
  4. Step 4: Simplify right side
    451,785x = 964,846,494,756
  5. Step 5: Solve for x
    x = 964,846,494,756/451,785
  6. Step 6: Final answer
    x = 2,135,631.98

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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.