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Finding the Third Proportional to 1,287,977 and 2,797,192

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Solution

The third proportional to 1,287,977 and 2,797,192 is: 6,074,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,977 : 2,797,192 = 2,797,192 : x
  2. Step 2: Convert to fraction form
    1,287,977/2,797,192 = 2,797,192/x
  3. Step 3: Cross multiply
    1,287,977x = 2,797,192 × 2,797,192
  4. Step 4: Simplify right side
    1,287,977x = 7,824,283,084,864
  5. Step 5: Solve for x
    x = 7,824,283,084,864/1,287,977
  6. Step 6: Final answer
    x = 6,074,862.43

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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.