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Finding the Third Proportional to 512,532 and 1,121,616

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Solution

The third proportional to 512,532 and 1,121,616 is: 2,454,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,532 : 1,121,616 = 1,121,616 : x
  2. Step 2: Convert to fraction form
    512,532/1,121,616 = 1,121,616/x
  3. Step 3: Cross multiply
    512,532x = 1,121,616 × 1,121,616
  4. Step 4: Simplify right side
    512,532x = 1,258,022,451,456
  5. Step 5: Solve for x
    x = 1,258,022,451,456/512,532
  6. Step 6: Final answer
    x = 2,454,524.70

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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.