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Finding the Third Proportional to 2,226,938 and 4,768,794

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Solution

The third proportional to 2,226,938 and 4,768,794 is: 10,211,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226,938 : 4,768,794 = 4,768,794 : x
  2. Step 2: Convert to fraction form
    2,226,938/4,768,794 = 4,768,794/x
  3. Step 3: Cross multiply
    2,226,938x = 4,768,794 × 4,768,794
  4. Step 4: Simplify right side
    2,226,938x = 22,741,396,214,436
  5. Step 5: Solve for x
    x = 22,741,396,214,436/2,226,938
  6. Step 6: Final answer
    x = 10,211,957.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.