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Finding the Third Proportional to 751,474 and 1,612,243

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Solution

The third proportional to 751,474 and 1,612,243 is: 3,458,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,474 : 1,612,243 = 1,612,243 : x
  2. Step 2: Convert to fraction form
    751,474/1,612,243 = 1,612,243/x
  3. Step 3: Cross multiply
    751,474x = 1,612,243 × 1,612,243
  4. Step 4: Simplify right side
    751,474x = 2,599,327,491,049
  5. Step 5: Solve for x
    x = 2,599,327,491,049/751,474
  6. Step 6: Final answer
    x = 3,458,971.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.