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Finding the Third Proportional to 1,278,406 and 2,759,614

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Solution

The third proportional to 1,278,406 and 2,759,614 is: 5,957,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,406 : 2,759,614 = 2,759,614 : x
  2. Step 2: Convert to fraction form
    1,278,406/2,759,614 = 2,759,614/x
  3. Step 3: Cross multiply
    1,278,406x = 2,759,614 × 2,759,614
  4. Step 4: Simplify right side
    1,278,406x = 7,615,469,428,996
  5. Step 5: Solve for x
    x = 7,615,469,428,996/1,278,406
  6. Step 6: Final answer
    x = 5,957,003.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.