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Finding the Third Proportional to 1,352,067.75 and 2,741,476.50

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Solution

The third proportional to 1,352,067.75 and 2,741,476.50 is: 5,558,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,067.75 : 2,741,476.50 = 2,741,476.50 : x
  2. Step 2: Convert to fraction form
    1,352,067.75/2,741,476.50 = 2,741,476.50/x
  3. Step 3: Cross multiply
    1,352,067.75x = 2,741,476.50 × 2,741,476.50
  4. Step 4: Simplify right side
    1,352,067.75x = 7,515,693,400,052.25
  5. Step 5: Solve for x
    x = 7,515,693,400,052.25/1,352,067.75
  6. Step 6: Final answer
    x = 5,558,666.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.