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Finding the Third Proportional to 1,205,864 and 2,510,958

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Solution

The third proportional to 1,205,864 and 2,510,958 is: 5,228,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,864 : 2,510,958 = 2,510,958 : x
  2. Step 2: Convert to fraction form
    1,205,864/2,510,958 = 2,510,958/x
  3. Step 3: Cross multiply
    1,205,864x = 2,510,958 × 2,510,958
  4. Step 4: Simplify right side
    1,205,864x = 6,304,910,077,764
  5. Step 5: Solve for x
    x = 6,304,910,077,764/1,205,864
  6. Step 6: Final answer
    x = 5,228,541.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.