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Finding the Third Proportional to 2,111,082 and 4,633,198

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Solution

The third proportional to 2,111,082 and 4,633,198 is: 10,168,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,082 : 4,633,198 = 4,633,198 : x
  2. Step 2: Convert to fraction form
    2,111,082/4,633,198 = 4,633,198/x
  3. Step 3: Cross multiply
    2,111,082x = 4,633,198 × 4,633,198
  4. Step 4: Simplify right side
    2,111,082x = 21,466,523,707,204
  5. Step 5: Solve for x
    x = 21,466,523,707,204/2,111,082
  6. Step 6: Final answer
    x = 10,168,493.55

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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.