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Finding the Third Proportional to 947,525 and 1,933,112

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Solution

The third proportional to 947,525 and 1,933,112 is: 3,943,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,525 : 1,933,112 = 1,933,112 : x
  2. Step 2: Convert to fraction form
    947,525/1,933,112 = 1,933,112/x
  3. Step 3: Cross multiply
    947,525x = 1,933,112 × 1,933,112
  4. Step 4: Simplify right side
    947,525x = 3,736,922,004,544
  5. Step 5: Solve for x
    x = 3,736,922,004,544/947,525
  6. Step 6: Final answer
    x = 3,943,876.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.