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Finding the Third Proportional to 3,699,067.50 and 5,804,237.25

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Solution

The third proportional to 3,699,067.50 and 5,804,237.25 is: 9,107,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,067.50 : 5,804,237.25 = 5,804,237.25 : x
  2. Step 2: Convert to fraction form
    3,699,067.50/5,804,237.25 = 5,804,237.25/x
  3. Step 3: Cross multiply
    3,699,067.50x = 5,804,237.25 × 5,804,237.25
  4. Step 4: Simplify right side
    3,699,067.50x = 33,689,170,054,287.56
  5. Step 5: Solve for x
    x = 33,689,170,054,287.56/3,699,067.50
  6. Step 6: Final answer
    x = 9,107,476.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.