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Finding the Third Proportional to 2,768,220 and 5,950,296

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Solution

The third proportional to 2,768,220 and 5,950,296 is: 12,790,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768,220 : 5,950,296 = 5,950,296 : x
  2. Step 2: Convert to fraction form
    2,768,220/5,950,296 = 5,950,296/x
  3. Step 3: Cross multiply
    2,768,220x = 5,950,296 × 5,950,296
  4. Step 4: Simplify right side
    2,768,220x = 35,406,022,487,616
  5. Step 5: Solve for x
    x = 35,406,022,487,616/2,768,220
  6. Step 6: Final answer
    x = 12,790,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.