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Finding the Third Proportional to 444,123 and 976,815

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Solution

The third proportional to 444,123 and 976,815 is: 2,148,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,123 : 976,815 = 976,815 : x
  2. Step 2: Convert to fraction form
    444,123/976,815 = 976,815/x
  3. Step 3: Cross multiply
    444,123x = 976,815 × 976,815
  4. Step 4: Simplify right side
    444,123x = 954,167,544,225
  5. Step 5: Solve for x
    x = 954,167,544,225/444,123
  6. Step 6: Final answer
    x = 2,148,430.83

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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.