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Finding the Third Proportional to 2,769,866 and 4,143,723

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Solution

The third proportional to 2,769,866 and 4,143,723 is: 6,199,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,866 : 4,143,723 = 4,143,723 : x
  2. Step 2: Convert to fraction form
    2,769,866/4,143,723 = 4,143,723/x
  3. Step 3: Cross multiply
    2,769,866x = 4,143,723 × 4,143,723
  4. Step 4: Simplify right side
    2,769,866x = 17,170,440,300,729
  5. Step 5: Solve for x
    x = 17,170,440,300,729/2,769,866
  6. Step 6: Final answer
    x = 6,199,014.79

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