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Finding the Third Proportional to 547,615 and 1,198,463

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Solution

The third proportional to 547,615 and 1,198,463 is: 2,622,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,615 : 1,198,463 = 1,198,463 : x
  2. Step 2: Convert to fraction form
    547,615/1,198,463 = 1,198,463/x
  3. Step 3: Cross multiply
    547,615x = 1,198,463 × 1,198,463
  4. Step 4: Simplify right side
    547,615x = 1,436,313,562,369
  5. Step 5: Solve for x
    x = 1,436,313,562,369/547,615
  6. Step 6: Final answer
    x = 2,622,852.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.