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Finding the Third Proportional to 1,306,950 and 1,998,873

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Solution

The third proportional to 1,306,950 and 1,998,873 is: 3,057,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,950 : 1,998,873 = 1,998,873 : x
  2. Step 2: Convert to fraction form
    1,306,950/1,998,873 = 1,998,873/x
  3. Step 3: Cross multiply
    1,306,950x = 1,998,873 × 1,998,873
  4. Step 4: Simplify right side
    1,306,950x = 3,995,493,270,129
  5. Step 5: Solve for x
    x = 3,995,493,270,129/1,306,950
  6. Step 6: Final answer
    x = 3,057,112.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.