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Finding the Third Proportional to 2,493,984 and 3,757,824

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Solution

The third proportional to 2,493,984 and 3,757,824 is: 5,662,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493,984 : 3,757,824 = 3,757,824 : x
  2. Step 2: Convert to fraction form
    2,493,984/3,757,824 = 3,757,824/x
  3. Step 3: Cross multiply
    2,493,984x = 3,757,824 × 3,757,824
  4. Step 4: Simplify right side
    2,493,984x = 14,121,241,214,976
  5. Step 5: Solve for x
    x = 14,121,241,214,976/2,493,984
  6. Step 6: Final answer
    x = 5,662,121.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.