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Finding the Third Proportional to 962,743 and 2,086,026

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Solution

The third proportional to 962,743 and 2,086,026 is: 4,519,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,743 : 2,086,026 = 2,086,026 : x
  2. Step 2: Convert to fraction form
    962,743/2,086,026 = 2,086,026/x
  3. Step 3: Cross multiply
    962,743x = 2,086,026 × 2,086,026
  4. Step 4: Simplify right side
    962,743x = 4,351,504,472,676
  5. Step 5: Solve for x
    x = 4,351,504,472,676/962,743
  6. Step 6: Final answer
    x = 4,519,902.48

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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.