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Finding the Third Proportional to 5,878,794 and 8,906,757

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Solution

The third proportional to 5,878,794 and 8,906,757 is: 13,494,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,794 : 8,906,757 = 8,906,757 : x
  2. Step 2: Convert to fraction form
    5,878,794/8,906,757 = 8,906,757/x
  3. Step 3: Cross multiply
    5,878,794x = 8,906,757 × 8,906,757
  4. Step 4: Simplify right side
    5,878,794x = 79,330,320,257,049
  5. Step 5: Solve for x
    x = 79,330,320,257,049/5,878,794
  6. Step 6: Final answer
    x = 13,494,318.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.