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Finding the Third Proportional to 2,727,686 and 4,091,529

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Solution

The third proportional to 2,727,686 and 4,091,529 is: 6,137,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727,686 : 4,091,529 = 4,091,529 : x
  2. Step 2: Convert to fraction form
    2,727,686/4,091,529 = 4,091,529/x
  3. Step 3: Cross multiply
    2,727,686x = 4,091,529 × 4,091,529
  4. Step 4: Simplify right side
    2,727,686x = 16,740,609,557,841
  5. Step 5: Solve for x
    x = 16,740,609,557,841/2,727,686
  6. Step 6: Final answer
    x = 6,137,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.