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Finding the Third Proportional to 2,105,694 and 4,310,988.75

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Solution

The third proportional to 2,105,694 and 4,310,988.75 is: 8,825,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,694 : 4,310,988.75 = 4,310,988.75 : x
  2. Step 2: Convert to fraction form
    2,105,694/4,310,988.75 = 4,310,988.75/x
  3. Step 3: Cross multiply
    2,105,694x = 4,310,988.75 × 4,310,988.75
  4. Step 4: Simplify right side
    2,105,694x = 18,584,624,002,626.56
  5. Step 5: Solve for x
    x = 18,584,624,002,626.56/2,105,694
  6. Step 6: Final answer
    x = 8,825,890.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.