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Finding the Third Proportional to 558,198 and 1,163,628

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Solution

The third proportional to 558,198 and 1,163,628 is: 2,425,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,198 : 1,163,628 = 1,163,628 : x
  2. Step 2: Convert to fraction form
    558,198/1,163,628 = 1,163,628/x
  3. Step 3: Cross multiply
    558,198x = 1,163,628 × 1,163,628
  4. Step 4: Simplify right side
    558,198x = 1,354,030,122,384
  5. Step 5: Solve for x
    x = 1,354,030,122,384/558,198
  6. Step 6: Final answer
    x = 2,425,716.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.