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Finding the Third Proportional to 618,286.50 and 1,302,993

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Solution

The third proportional to 618,286.50 and 1,302,993 is: 2,745,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,286.50 : 1,302,993 = 1,302,993 : x
  2. Step 2: Convert to fraction form
    618,286.50/1,302,993 = 1,302,993/x
  3. Step 3: Cross multiply
    618,286.50x = 1,302,993 × 1,302,993
  4. Step 4: Simplify right side
    618,286.50x = 1,697,790,758,049
  5. Step 5: Solve for x
    x = 1,697,790,758,049/618,286.50
  6. Step 6: Final answer
    x = 2,745,961.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.