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Finding the Third Proportional to 1,200,668 and 2,135,122

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Solution

The third proportional to 1,200,668 and 2,135,122 is: 3,796,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,668 : 2,135,122 = 2,135,122 : x
  2. Step 2: Convert to fraction form
    1,200,668/2,135,122 = 2,135,122/x
  3. Step 3: Cross multiply
    1,200,668x = 2,135,122 × 2,135,122
  4. Step 4: Simplify right side
    1,200,668x = 4,558,745,954,884
  5. Step 5: Solve for x
    x = 4,558,745,954,884/1,200,668
  6. Step 6: Final answer
    x = 3,796,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.