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Finding the Third Proportional to 2,171,076.75 and 2,894,376.38

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Solution

The third proportional to 2,171,076.75 and 2,894,376.38 is: 3,858,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,076.75 : 2,894,376.38 = 2,894,376.38 : x
  2. Step 2: Convert to fraction form
    2,171,076.75/2,894,376.38 = 2,894,376.38/x
  3. Step 3: Cross multiply
    2,171,076.75x = 2,894,376.38 × 2,894,376.38
  4. Step 4: Simplify right side
    2,171,076.75x = 8,377,414,600,158.14
  5. Step 5: Solve for x
    x = 8,377,414,600,158.14/2,171,076.75
  6. Step 6: Final answer
    x = 3,858,645.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.