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Finding the Third Proportional to 991,940 and 2,161,027

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Solution

The third proportional to 991,940 and 2,161,027 is: 4,707,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,940 : 2,161,027 = 2,161,027 : x
  2. Step 2: Convert to fraction form
    991,940/2,161,027 = 2,161,027/x
  3. Step 3: Cross multiply
    991,940x = 2,161,027 × 2,161,027
  4. Step 4: Simplify right side
    991,940x = 4,670,037,694,729
  5. Step 5: Solve for x
    x = 4,670,037,694,729/991,940
  6. Step 6: Final answer
    x = 4,707,984.05

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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.