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Finding the Third Proportional to 2,293,731 and 4,986,198

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Solution

The third proportional to 2,293,731 and 4,986,198 is: 10,839,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293,731 : 4,986,198 = 4,986,198 : x
  2. Step 2: Convert to fraction form
    2,293,731/4,986,198 = 4,986,198/x
  3. Step 3: Cross multiply
    2,293,731x = 4,986,198 × 4,986,198
  4. Step 4: Simplify right side
    2,293,731x = 24,862,170,495,204
  5. Step 5: Solve for x
    x = 24,862,170,495,204/2,293,731
  6. Step 6: Final answer
    x = 10,839,183.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.