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Finding the Third Proportional to 553,198 and 1,206,928

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Solution

The third proportional to 553,198 and 1,206,928 is: 2,633,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,198 : 1,206,928 = 1,206,928 : x
  2. Step 2: Convert to fraction form
    553,198/1,206,928 = 1,206,928/x
  3. Step 3: Cross multiply
    553,198x = 1,206,928 × 1,206,928
  4. Step 4: Simplify right side
    553,198x = 1,456,675,197,184
  5. Step 5: Solve for x
    x = 1,456,675,197,184/553,198
  6. Step 6: Final answer
    x = 2,633,189.56

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Why These Related Problems?

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