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Finding the Third Proportional to 1,285,940 and 2,749,036

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Solution

The third proportional to 1,285,940 and 2,749,036 is: 5,876,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,940 : 2,749,036 = 2,749,036 : x
  2. Step 2: Convert to fraction form
    1,285,940/2,749,036 = 2,749,036/x
  3. Step 3: Cross multiply
    1,285,940x = 2,749,036 × 2,749,036
  4. Step 4: Simplify right side
    1,285,940x = 7,557,198,929,296
  5. Step 5: Solve for x
    x = 7,557,198,929,296/1,285,940
  6. Step 6: Final answer
    x = 5,876,789.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.