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Finding the Third Proportional to 515,138 and 1,086,212

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Solution

The third proportional to 515,138 and 1,086,212 is: 2,290,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,138 : 1,086,212 = 1,086,212 : x
  2. Step 2: Convert to fraction form
    515,138/1,086,212 = 1,086,212/x
  3. Step 3: Cross multiply
    515,138x = 1,086,212 × 1,086,212
  4. Step 4: Simplify right side
    515,138x = 1,179,856,508,944
  5. Step 5: Solve for x
    x = 1,179,856,508,944/515,138
  6. Step 6: Final answer
    x = 2,290,369.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.