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Finding the Third Proportional to 2,701,085 and 4,120,227

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Solution

The third proportional to 2,701,085 and 4,120,227 is: 6,284,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,085 : 4,120,227 = 4,120,227 : x
  2. Step 2: Convert to fraction form
    2,701,085/4,120,227 = 4,120,227/x
  3. Step 3: Cross multiply
    2,701,085x = 4,120,227 × 4,120,227
  4. Step 4: Simplify right side
    2,701,085x = 16,976,270,531,529
  5. Step 5: Solve for x
    x = 16,976,270,531,529/2,701,085
  6. Step 6: Final answer
    x = 6,284,981.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.