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Finding the Third Proportional to 2,138,659 and 4,454,295

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Solution

The third proportional to 2,138,659 and 4,454,295 is: 9,277,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,659 : 4,454,295 = 4,454,295 : x
  2. Step 2: Convert to fraction form
    2,138,659/4,454,295 = 4,454,295/x
  3. Step 3: Cross multiply
    2,138,659x = 4,454,295 × 4,454,295
  4. Step 4: Simplify right side
    2,138,659x = 19,840,743,947,025
  5. Step 5: Solve for x
    x = 19,840,743,947,025/2,138,659
  6. Step 6: Final answer
    x = 9,277,189.09

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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.