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Finding the Third Proportional to 2,218,329 and 4,541,742

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Solution

The third proportional to 2,218,329 and 4,541,742 is: 9,298,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,329 : 4,541,742 = 4,541,742 : x
  2. Step 2: Convert to fraction form
    2,218,329/4,541,742 = 4,541,742/x
  3. Step 3: Cross multiply
    2,218,329x = 4,541,742 × 4,541,742
  4. Step 4: Simplify right side
    2,218,329x = 20,627,420,394,564
  5. Step 5: Solve for x
    x = 20,627,420,394,564/2,218,329
  6. Step 6: Final answer
    x = 9,298,629.91

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Why These Related Problems?

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