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Finding the Third Proportional to 4,341,517 and 6,382,198

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Solution

The third proportional to 4,341,517 and 6,382,198 is: 9,382,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341,517 : 6,382,198 = 6,382,198 : x
  2. Step 2: Convert to fraction form
    4,341,517/6,382,198 = 6,382,198/x
  3. Step 3: Cross multiply
    4,341,517x = 6,382,198 × 6,382,198
  4. Step 4: Simplify right side
    4,341,517x = 40,732,451,311,204
  5. Step 5: Solve for x
    x = 40,732,451,311,204/4,341,517
  6. Step 6: Final answer
    x = 9,382,078.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.