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Finding the Third Proportional to 444,190 and 976,934

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Solution

The third proportional to 444,190 and 976,934 is: 2,148,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,190 : 976,934 = 976,934 : x
  2. Step 2: Convert to fraction form
    444,190/976,934 = 976,934/x
  3. Step 3: Cross multiply
    444,190x = 976,934 × 976,934
  4. Step 4: Simplify right side
    444,190x = 954,400,040,356
  5. Step 5: Solve for x
    x = 954,400,040,356/444,190
  6. Step 6: Final answer
    x = 2,148,630.18

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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.