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Finding the Third Proportional to 830,979 and 1,789,067.25

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Solution

The third proportional to 830,979 and 1,789,067.25 is: 3,851,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,979 : 1,789,067.25 = 1,789,067.25 : x
  2. Step 2: Convert to fraction form
    830,979/1,789,067.25 = 1,789,067.25/x
  3. Step 3: Cross multiply
    830,979x = 1,789,067.25 × 1,789,067.25
  4. Step 4: Simplify right side
    830,979x = 3,200,761,625,022.56
  5. Step 5: Solve for x
    x = 3,200,761,625,022.56/830,979
  6. Step 6: Final answer
    x = 3,851,796.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.