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Finding the Third Proportional to 2,605,195.41 and 3,722,034.80

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Solution

The third proportional to 2,605,195.41 and 3,722,034.80 is: 5,317,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,195.41 : 3,722,034.80 = 3,722,034.80 : x
  2. Step 2: Convert to fraction form
    2,605,195.41/3,722,034.80 = 3,722,034.80/x
  3. Step 3: Cross multiply
    2,605,195.41x = 3,722,034.80 × 3,722,034.80
  4. Step 4: Simplify right side
    2,605,195.41x = 13,853,543,029,148.32
  5. Step 5: Solve for x
    x = 13,853,543,029,148.32/2,605,195.41
  6. Step 6: Final answer
    x = 5,317,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.