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Finding the Third Proportional to 4,396,977 and 6,794,781

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Solution

The third proportional to 4,396,977 and 6,794,781 is: 10,500,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396,977 : 6,794,781 = 6,794,781 : x
  2. Step 2: Convert to fraction form
    4,396,977/6,794,781 = 6,794,781/x
  3. Step 3: Cross multiply
    4,396,977x = 6,794,781 × 6,794,781
  4. Step 4: Simplify right side
    4,396,977x = 46,169,048,837,961
  5. Step 5: Solve for x
    x = 46,169,048,837,961/4,396,977
  6. Step 6: Final answer
    x = 10,500,179.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.