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Finding the Third Proportional to 2,226,914 and 4,768,756

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Solution

The third proportional to 2,226,914 and 4,768,756 is: 10,211,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226,914 : 4,768,756 = 4,768,756 : x
  2. Step 2: Convert to fraction form
    2,226,914/4,768,756 = 4,768,756/x
  3. Step 3: Cross multiply
    2,226,914x = 4,768,756 × 4,768,756
  4. Step 4: Simplify right side
    2,226,914x = 22,741,033,787,536
  5. Step 5: Solve for x
    x = 22,741,033,787,536/2,226,914
  6. Step 6: Final answer
    x = 10,211,904.81

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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.