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Finding the Third Proportional to 1,213,982 and 2,659,246

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Solution

The third proportional to 1,213,982 and 2,659,246 is: 5,825,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,982 : 2,659,246 = 2,659,246 : x
  2. Step 2: Convert to fraction form
    1,213,982/2,659,246 = 2,659,246/x
  3. Step 3: Cross multiply
    1,213,982x = 2,659,246 × 2,659,246
  4. Step 4: Simplify right side
    1,213,982x = 7,071,589,288,516
  5. Step 5: Solve for x
    x = 7,071,589,288,516/1,213,982
  6. Step 6: Final answer
    x = 5,825,118.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.