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Finding the Third Proportional to 681,435 and 1,482,183

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Solution

The third proportional to 681,435 and 1,482,183 is: 3,223,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,435 : 1,482,183 = 1,482,183 : x
  2. Step 2: Convert to fraction form
    681,435/1,482,183 = 1,482,183/x
  3. Step 3: Cross multiply
    681,435x = 1,482,183 × 1,482,183
  4. Step 4: Simplify right side
    681,435x = 2,196,866,445,489
  5. Step 5: Solve for x
    x = 2,196,866,445,489/681,435
  6. Step 6: Final answer
    x = 3,223,882.61

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Why These Related Problems?

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