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Finding the Third Proportional to 681,441 and 1,482,195

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Solution

The third proportional to 681,441 and 1,482,195 is: 3,223,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,441 : 1,482,195 = 1,482,195 : x
  2. Step 2: Convert to fraction form
    681,441/1,482,195 = 1,482,195/x
  3. Step 3: Cross multiply
    681,441x = 1,482,195 × 1,482,195
  4. Step 4: Simplify right side
    681,441x = 2,196,902,018,025
  5. Step 5: Solve for x
    x = 2,196,902,018,025/681,441
  6. Step 6: Final answer
    x = 3,223,906.42

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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.