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Finding the Third Proportional to 2,273,214 and 4,826,638

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Solution

The third proportional to 2,273,214 and 4,826,638 is: 10,248,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,214 : 4,826,638 = 4,826,638 : x
  2. Step 2: Convert to fraction form
    2,273,214/4,826,638 = 4,826,638/x
  3. Step 3: Cross multiply
    2,273,214x = 4,826,638 × 4,826,638
  4. Step 4: Simplify right side
    2,273,214x = 23,296,434,383,044
  5. Step 5: Solve for x
    x = 23,296,434,383,044/2,273,214
  6. Step 6: Final answer
    x = 10,248,236.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.