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Finding the Third Proportional to 2,210,119 and 3,412,811

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Solution

The third proportional to 2,210,119 and 3,412,811 is: 5,269,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,119 : 3,412,811 = 3,412,811 : x
  2. Step 2: Convert to fraction form
    2,210,119/3,412,811 = 3,412,811/x
  3. Step 3: Cross multiply
    2,210,119x = 3,412,811 × 3,412,811
  4. Step 4: Simplify right side
    2,210,119x = 11,647,278,921,721
  5. Step 5: Solve for x
    x = 11,647,278,921,721/2,210,119
  6. Step 6: Final answer
    x = 5,269,978.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.