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Finding the Third Proportional to 741,340.41 and 1,618,616.53

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Solution

The third proportional to 741,340.41 and 1,618,616.53 is: 3,534,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,340.41 : 1,618,616.53 = 1,618,616.53 : x
  2. Step 2: Convert to fraction form
    741,340.41/1,618,616.53 = 1,618,616.53/x
  3. Step 3: Cross multiply
    741,340.41x = 1,618,616.53 × 1,618,616.53
  4. Step 4: Simplify right side
    741,340.41x = 2,619,919,475,235.78
  5. Step 5: Solve for x
    x = 2,619,919,475,235.78/741,340.41
  6. Step 6: Final answer
    x = 3,534,030.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.