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Finding the Third Proportional to 2,183,769 and 4,744,788.75

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Solution

The third proportional to 2,183,769 and 4,744,788.75 is: 10,309,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,769 : 4,744,788.75 = 4,744,788.75 : x
  2. Step 2: Convert to fraction form
    2,183,769/4,744,788.75 = 4,744,788.75/x
  3. Step 3: Cross multiply
    2,183,769x = 4,744,788.75 × 4,744,788.75
  4. Step 4: Simplify right side
    2,183,769x = 22,513,020,282,126.56
  5. Step 5: Solve for x
    x = 22,513,020,282,126.56/2,183,769
  6. Step 6: Final answer
    x = 10,309,249.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.