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Finding the Third Proportional to 548,742 and 1,198,032

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Solution

The third proportional to 548,742 and 1,198,032 is: 2,615,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,742 : 1,198,032 = 1,198,032 : x
  2. Step 2: Convert to fraction form
    548,742/1,198,032 = 1,198,032/x
  3. Step 3: Cross multiply
    548,742x = 1,198,032 × 1,198,032
  4. Step 4: Simplify right side
    548,742x = 1,435,280,673,024
  5. Step 5: Solve for x
    x = 1,435,280,673,024/548,742
  6. Step 6: Final answer
    x = 2,615,583.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.