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Finding the Third Proportional to 1,109,067 and 2,270,581.50

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Solution

The third proportional to 1,109,067 and 2,270,581.50 is: 4,648,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,067 : 2,270,581.50 = 2,270,581.50 : x
  2. Step 2: Convert to fraction form
    1,109,067/2,270,581.50 = 2,270,581.50/x
  3. Step 3: Cross multiply
    1,109,067x = 2,270,581.50 × 2,270,581.50
  4. Step 4: Simplify right side
    1,109,067x = 5,155,540,348,142.25
  5. Step 5: Solve for x
    x = 5,155,540,348,142.25/1,109,067
  6. Step 6: Final answer
    x = 4,648,538.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.