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Finding the Third Proportional to 2,049,568 and 3,274,216

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Solution

The third proportional to 2,049,568 and 3,274,216 is: 5,230,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,568 : 3,274,216 = 3,274,216 : x
  2. Step 2: Convert to fraction form
    2,049,568/3,274,216 = 3,274,216/x
  3. Step 3: Cross multiply
    2,049,568x = 3,274,216 × 3,274,216
  4. Step 4: Simplify right side
    2,049,568x = 10,720,490,414,656
  5. Step 5: Solve for x
    x = 10,720,490,414,656/2,049,568
  6. Step 6: Final answer
    x = 5,230,609.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.