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Finding the Third Proportional to 2,282,568 and 5,398,020

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Solution

The third proportional to 2,282,568 and 5,398,020 is: 12,765,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,568 : 5,398,020 = 5,398,020 : x
  2. Step 2: Convert to fraction form
    2,282,568/5,398,020 = 5,398,020/x
  3. Step 3: Cross multiply
    2,282,568x = 5,398,020 × 5,398,020
  4. Step 4: Simplify right side
    2,282,568x = 29,138,619,920,400
  5. Step 5: Solve for x
    x = 29,138,619,920,400/2,282,568
  6. Step 6: Final answer
    x = 12,765,718.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.