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Finding the Third Proportional to 1,391,664.38 and 2,965,578.75

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Solution

The third proportional to 1,391,664.38 and 2,965,578.75 is: 6,319,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,664.38 : 2,965,578.75 = 2,965,578.75 : x
  2. Step 2: Convert to fraction form
    1,391,664.38/2,965,578.75 = 2,965,578.75/x
  3. Step 3: Cross multiply
    1,391,664.38x = 2,965,578.75 × 2,965,578.75
  4. Step 4: Simplify right side
    1,391,664.38x = 8,794,657,322,451.56
  5. Step 5: Solve for x
    x = 8,794,657,322,451.56/1,391,664.38
  6. Step 6: Final answer
    x = 6,319,524.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.