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Finding the Third Proportional to 969,334 and 2,131,177

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Solution

The third proportional to 969,334 and 2,131,177 is: 4,685,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,334 : 2,131,177 = 2,131,177 : x
  2. Step 2: Convert to fraction form
    969,334/2,131,177 = 2,131,177/x
  3. Step 3: Cross multiply
    969,334x = 2,131,177 × 2,131,177
  4. Step 4: Simplify right side
    969,334x = 4,541,915,405,329
  5. Step 5: Solve for x
    x = 4,541,915,405,329/969,334
  6. Step 6: Final answer
    x = 4,685,604.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.