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Finding the Third Proportional to 1,138,323.38 and 2,424,122.44

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Solution

The third proportional to 1,138,323.38 and 2,424,122.44 is: 5,162,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,323.38 : 2,424,122.44 = 2,424,122.44 : x
  2. Step 2: Convert to fraction form
    1,138,323.38/2,424,122.44 = 2,424,122.44/x
  3. Step 3: Cross multiply
    1,138,323.38x = 2,424,122.44 × 2,424,122.44
  4. Step 4: Simplify right side
    1,138,323.38x = 5,876,369,591,990.94
  5. Step 5: Solve for x
    x = 5,876,369,591,990.94/1,138,323.38
  6. Step 6: Final answer
    x = 5,162,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.