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Finding the Third Proportional to 1,741,968 and 2,691,648

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Solution

The third proportional to 1,741,968 and 2,691,648 is: 4,159,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,968 : 2,691,648 = 2,691,648 : x
  2. Step 2: Convert to fraction form
    1,741,968/2,691,648 = 2,691,648/x
  3. Step 3: Cross multiply
    1,741,968x = 2,691,648 × 2,691,648
  4. Step 4: Simplify right side
    1,741,968x = 7,244,968,955,904
  5. Step 5: Solve for x
    x = 7,244,968,955,904/1,741,968
  6. Step 6: Final answer
    x = 4,159,071.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.