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Finding the Third Proportional to 618,206 and 1,318,069

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Solution

The third proportional to 618,206 and 1,318,069 is: 2,810,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,206 : 1,318,069 = 1,318,069 : x
  2. Step 2: Convert to fraction form
    618,206/1,318,069 = 1,318,069/x
  3. Step 3: Cross multiply
    618,206x = 1,318,069 × 1,318,069
  4. Step 4: Simplify right side
    618,206x = 1,737,305,888,761
  5. Step 5: Solve for x
    x = 1,737,305,888,761/618,206
  6. Step 6: Final answer
    x = 2,810,237.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.