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Finding the Third Proportional to 969,036 and 2,122,668

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Solution

The third proportional to 969,036 and 2,122,668 is: 4,649,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,036 : 2,122,668 = 2,122,668 : x
  2. Step 2: Convert to fraction form
    969,036/2,122,668 = 2,122,668/x
  3. Step 3: Cross multiply
    969,036x = 2,122,668 × 2,122,668
  4. Step 4: Simplify right side
    969,036x = 4,505,719,438,224
  5. Step 5: Solve for x
    x = 4,505,719,438,224/969,036
  6. Step 6: Final answer
    x = 4,649,692.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.