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Finding the Third Proportional to 548,544 and 1,199,616

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Solution

The third proportional to 548,544 and 1,199,616 is: 2,623,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,544 : 1,199,616 = 1,199,616 : x
  2. Step 2: Convert to fraction form
    548,544/1,199,616 = 1,199,616/x
  3. Step 3: Cross multiply
    548,544x = 1,199,616 × 1,199,616
  4. Step 4: Simplify right side
    548,544x = 1,439,078,547,456
  5. Step 5: Solve for x
    x = 1,439,078,547,456/548,544
  6. Step 6: Final answer
    x = 2,623,451.44

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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.