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Finding the Third Proportional to 2,194,666 and 5,286,625

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Solution

The third proportional to 2,194,666 and 5,286,625 is: 12,734,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,666 : 5,286,625 = 5,286,625 : x
  2. Step 2: Convert to fraction form
    2,194,666/5,286,625 = 5,286,625/x
  3. Step 3: Cross multiply
    2,194,666x = 5,286,625 × 5,286,625
  4. Step 4: Simplify right side
    2,194,666x = 27,948,403,890,625
  5. Step 5: Solve for x
    x = 27,948,403,890,625/2,194,666
  6. Step 6: Final answer
    x = 12,734,695.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.