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Finding the Third Proportional to 2,247,357 and 4,952,823

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Solution

The third proportional to 2,247,357 and 4,952,823 is: 10,915,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,357 : 4,952,823 = 4,952,823 : x
  2. Step 2: Convert to fraction form
    2,247,357/4,952,823 = 4,952,823/x
  3. Step 3: Cross multiply
    2,247,357x = 4,952,823 × 4,952,823
  4. Step 4: Simplify right side
    2,247,357x = 24,530,455,669,329
  5. Step 5: Solve for x
    x = 24,530,455,669,329/2,247,357
  6. Step 6: Final answer
    x = 10,915,246.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.