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Finding the Third Proportional to 449,482 and 965,667

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Solution

The third proportional to 449,482 and 965,667 is: 2,074,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,482 : 965,667 = 965,667 : x
  2. Step 2: Convert to fraction form
    449,482/965,667 = 965,667/x
  3. Step 3: Cross multiply
    449,482x = 965,667 × 965,667
  4. Step 4: Simplify right side
    449,482x = 932,512,754,889
  5. Step 5: Solve for x
    x = 932,512,754,889/449,482
  6. Step 6: Final answer
    x = 2,074,638.71

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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.