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Finding the Third Proportional to 741,966 and 1,377,876

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Solution

The third proportional to 741,966 and 1,377,876 is: 2,558,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,966 : 1,377,876 = 1,377,876 : x
  2. Step 2: Convert to fraction form
    741,966/1,377,876 = 1,377,876/x
  3. Step 3: Cross multiply
    741,966x = 1,377,876 × 1,377,876
  4. Step 4: Simplify right side
    741,966x = 1,898,542,271,376
  5. Step 5: Solve for x
    x = 1,898,542,271,376/741,966
  6. Step 6: Final answer
    x = 2,558,799.56

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.