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Finding the Third Proportional to 1,194,933 and 2,589,069

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Solution

The third proportional to 1,194,933 and 2,589,069 is: 5,609,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,933 : 2,589,069 = 2,589,069 : x
  2. Step 2: Convert to fraction form
    1,194,933/2,589,069 = 2,589,069/x
  3. Step 3: Cross multiply
    1,194,933x = 2,589,069 × 2,589,069
  4. Step 4: Simplify right side
    1,194,933x = 6,703,278,286,761
  5. Step 5: Solve for x
    x = 6,703,278,286,761/1,194,933
  6. Step 6: Final answer
    x = 5,609,752.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.