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Finding the Third Proportional to 3,279,743.44 and 4,835,538.56

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Solution

The third proportional to 3,279,743.44 and 4,835,538.56 is: 7,129,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279,743.44 : 4,835,538.56 = 4,835,538.56 : x
  2. Step 2: Convert to fraction form
    3,279,743.44/4,835,538.56 = 4,835,538.56/x
  3. Step 3: Cross multiply
    3,279,743.44x = 4,835,538.56 × 4,835,538.56
  4. Step 4: Simplify right side
    3,279,743.44x = 23,382,433,189,424.57
  5. Step 5: Solve for x
    x = 23,382,433,189,424.57/3,279,743.44
  6. Step 6: Final answer
    x = 7,129,348.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.