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Finding the Third Proportional to 2,007,864 and 3,914,846

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Solution

The third proportional to 2,007,864 and 3,914,846 is: 7,632,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007,864 : 3,914,846 = 3,914,846 : x
  2. Step 2: Convert to fraction form
    2,007,864/3,914,846 = 3,914,846/x
  3. Step 3: Cross multiply
    2,007,864x = 3,914,846 × 3,914,846
  4. Step 4: Simplify right side
    2,007,864x = 15,326,019,203,716
  5. Step 5: Solve for x
    x = 15,326,019,203,716/2,007,864
  6. Step 6: Final answer
    x = 7,632,996.66

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.