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Finding the Third Proportional to 444,161 and 976,876

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Solution

The third proportional to 444,161 and 976,876 is: 2,148,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,161 : 976,876 = 976,876 : x
  2. Step 2: Convert to fraction form
    444,161/976,876 = 976,876/x
  3. Step 3: Cross multiply
    444,161x = 976,876 × 976,876
  4. Step 4: Simplify right side
    444,161x = 954,286,719,376
  5. Step 5: Solve for x
    x = 954,286,719,376/444,161
  6. Step 6: Final answer
    x = 2,148,515.33

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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.