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Finding the Third Proportional to 2,273,268 and 4,974,648

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Solution

The third proportional to 2,273,268 and 4,974,648 is: 10,886,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,268 : 4,974,648 = 4,974,648 : x
  2. Step 2: Convert to fraction form
    2,273,268/4,974,648 = 4,974,648/x
  3. Step 3: Cross multiply
    2,273,268x = 4,974,648 × 4,974,648
  4. Step 4: Simplify right side
    2,273,268x = 24,747,122,723,904
  5. Step 5: Solve for x
    x = 24,747,122,723,904/2,273,268
  6. Step 6: Final answer
    x = 10,886,143.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.