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Finding the Third Proportional to 3,422,198 and 4,784,727

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Solution

The third proportional to 3,422,198 and 4,784,727 is: 6,689,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422,198 : 4,784,727 = 4,784,727 : x
  2. Step 2: Convert to fraction form
    3,422,198/4,784,727 = 4,784,727/x
  3. Step 3: Cross multiply
    3,422,198x = 4,784,727 × 4,784,727
  4. Step 4: Simplify right side
    3,422,198x = 22,893,612,464,529
  5. Step 5: Solve for x
    x = 22,893,612,464,529/3,422,198
  6. Step 6: Final answer
    x = 6,689,739.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.