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Finding the Third Proportional to 741,144 and 1,616,112

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Solution

The third proportional to 741,144 and 1,616,112 is: 3,524,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,144 : 1,616,112 = 1,616,112 : x
  2. Step 2: Convert to fraction form
    741,144/1,616,112 = 1,616,112/x
  3. Step 3: Cross multiply
    741,144x = 1,616,112 × 1,616,112
  4. Step 4: Simplify right side
    741,144x = 2,611,817,996,544
  5. Step 5: Solve for x
    x = 2,611,817,996,544/741,144
  6. Step 6: Final answer
    x = 3,524,035.81

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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.