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Finding the Third Proportional to 5,049,726 and 7,102,794

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Solution

The third proportional to 5,049,726 and 7,102,794 is: 9,990,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049,726 : 7,102,794 = 7,102,794 : x
  2. Step 2: Convert to fraction form
    5,049,726/7,102,794 = 7,102,794/x
  3. Step 3: Cross multiply
    5,049,726x = 7,102,794 × 7,102,794
  4. Step 4: Simplify right side
    5,049,726x = 50,449,682,606,436
  5. Step 5: Solve for x
    x = 50,449,682,606,436/5,049,726
  6. Step 6: Final answer
    x = 9,990,578.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.