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Finding the Third Proportional to 558,192 and 1,163,616

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Solution

The third proportional to 558,192 and 1,163,616 is: 2,425,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,192 : 1,163,616 = 1,163,616 : x
  2. Step 2: Convert to fraction form
    558,192/1,163,616 = 1,163,616/x
  3. Step 3: Cross multiply
    558,192x = 1,163,616 × 1,163,616
  4. Step 4: Simplify right side
    558,192x = 1,354,002,195,456
  5. Step 5: Solve for x
    x = 1,354,002,195,456/558,192
  6. Step 6: Final answer
    x = 2,425,692.59

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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.