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Finding the Third Proportional to 2,212,742 and 4,827,612

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Solution

The third proportional to 2,212,742 and 4,827,612 is: 10,532,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212,742 : 4,827,612 = 4,827,612 : x
  2. Step 2: Convert to fraction form
    2,212,742/4,827,612 = 4,827,612/x
  3. Step 3: Cross multiply
    2,212,742x = 4,827,612 × 4,827,612
  4. Step 4: Simplify right side
    2,212,742x = 23,305,837,622,544
  5. Step 5: Solve for x
    x = 23,305,837,622,544/2,212,742
  6. Step 6: Final answer
    x = 10,532,559.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.