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Finding the Third Proportional to 379,156 and 819,116

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Solution

The third proportional to 379,156 and 819,116 is: 1,769,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,156 : 819,116 = 819,116 : x
  2. Step 2: Convert to fraction form
    379,156/819,116 = 819,116/x
  3. Step 3: Cross multiply
    379,156x = 819,116 × 819,116
  4. Step 4: Simplify right side
    379,156x = 670,951,021,456
  5. Step 5: Solve for x
    x = 670,951,021,456/379,156
  6. Step 6: Final answer
    x = 1,769,590.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.