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Finding the Third Proportional to 2,729,712 and 5,874,144

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Solution

The third proportional to 2,729,712 and 5,874,144 is: 12,640,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,712 : 5,874,144 = 5,874,144 : x
  2. Step 2: Convert to fraction form
    2,729,712/5,874,144 = 5,874,144/x
  3. Step 3: Cross multiply
    2,729,712x = 5,874,144 × 5,874,144
  4. Step 4: Simplify right side
    2,729,712x = 34,505,567,732,736
  5. Step 5: Solve for x
    x = 34,505,567,732,736/2,729,712
  6. Step 6: Final answer
    x = 12,640,735.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.