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Finding the Third Proportional to 1,147,408 and 2,493,824

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Solution

The third proportional to 1,147,408 and 2,493,824 is: 5,420,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,408 : 2,493,824 = 2,493,824 : x
  2. Step 2: Convert to fraction form
    1,147,408/2,493,824 = 2,493,824/x
  3. Step 3: Cross multiply
    1,147,408x = 2,493,824 × 2,493,824
  4. Step 4: Simplify right side
    1,147,408x = 6,219,158,142,976
  5. Step 5: Solve for x
    x = 6,219,158,142,976/1,147,408
  6. Step 6: Final answer
    x = 5,420,180.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.