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Finding the Third Proportional to 1,280,204 and 2,743,009

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Solution

The third proportional to 1,280,204 and 2,743,009 is: 5,877,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,204 : 2,743,009 = 2,743,009 : x
  2. Step 2: Convert to fraction form
    1,280,204/2,743,009 = 2,743,009/x
  3. Step 3: Cross multiply
    1,280,204x = 2,743,009 × 2,743,009
  4. Step 4: Simplify right side
    1,280,204x = 7,524,098,374,081
  5. Step 5: Solve for x
    x = 7,524,098,374,081/1,280,204
  6. Step 6: Final answer
    x = 5,877,265.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.