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Finding the Third Proportional to 680,796 and 1,451,016

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Solution

The third proportional to 680,796 and 1,451,016 is: 3,092,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,796 : 1,451,016 = 1,451,016 : x
  2. Step 2: Convert to fraction form
    680,796/1,451,016 = 1,451,016/x
  3. Step 3: Cross multiply
    680,796x = 1,451,016 × 1,451,016
  4. Step 4: Simplify right side
    680,796x = 2,105,447,432,256
  5. Step 5: Solve for x
    x = 2,105,447,432,256/680,796
  6. Step 6: Final answer
    x = 3,092,626.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.