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Finding the Third Proportional to 2,168,049 and 4,580,286

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Solution

The third proportional to 2,168,049 and 4,580,286 is: 9,676,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168,049 : 4,580,286 = 4,580,286 : x
  2. Step 2: Convert to fraction form
    2,168,049/4,580,286 = 4,580,286/x
  3. Step 3: Cross multiply
    2,168,049x = 4,580,286 × 4,580,286
  4. Step 4: Simplify right side
    2,168,049x = 20,979,019,841,796
  5. Step 5: Solve for x
    x = 20,979,019,841,796/2,168,049
  6. Step 6: Final answer
    x = 9,676,450.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.