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Finding the Third Proportional to 741,176 and 1,616,176

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Solution

The third proportional to 741,176 and 1,616,176 is: 3,524,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,176 : 1,616,176 = 1,616,176 : x
  2. Step 2: Convert to fraction form
    741,176/1,616,176 = 1,616,176/x
  3. Step 3: Cross multiply
    741,176x = 1,616,176 × 1,616,176
  4. Step 4: Simplify right side
    741,176x = 2,612,024,862,976
  5. Step 5: Solve for x
    x = 2,612,024,862,976/741,176
  6. Step 6: Final answer
    x = 3,524,162.77

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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.