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Finding the Third Proportional to 3,419,074 and 5,414,016

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Solution

The third proportional to 3,419,074 and 5,414,016 is: 8,572,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,074 : 5,414,016 = 5,414,016 : x
  2. Step 2: Convert to fraction form
    3,419,074/5,414,016 = 5,414,016/x
  3. Step 3: Cross multiply
    3,419,074x = 5,414,016 × 5,414,016
  4. Step 4: Simplify right side
    3,419,074x = 29,311,569,248,256
  5. Step 5: Solve for x
    x = 29,311,569,248,256/3,419,074
  6. Step 6: Final answer
    x = 8,572,955.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.