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Finding the Third Proportional to 2,173,647 and 4,767,198

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Solution

The third proportional to 2,173,647 and 4,767,198 is: 10,455,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,647 : 4,767,198 = 4,767,198 : x
  2. Step 2: Convert to fraction form
    2,173,647/4,767,198 = 4,767,198/x
  3. Step 3: Cross multiply
    2,173,647x = 4,767,198 × 4,767,198
  4. Step 4: Simplify right side
    2,173,647x = 22,726,176,771,204
  5. Step 5: Solve for x
    x = 22,726,176,771,204/2,173,647
  6. Step 6: Final answer
    x = 10,455,320.84

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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.