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Finding the Third Proportional to 962,719 and 1,951,983

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Solution

The third proportional to 962,719 and 1,951,983 is: 3,957,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,719 : 1,951,983 = 1,951,983 : x
  2. Step 2: Convert to fraction form
    962,719/1,951,983 = 1,951,983/x
  3. Step 3: Cross multiply
    962,719x = 1,951,983 × 1,951,983
  4. Step 4: Simplify right side
    962,719x = 3,810,237,632,289
  5. Step 5: Solve for x
    x = 3,810,237,632,289/962,719
  6. Step 6: Final answer
    x = 3,957,787.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.