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Finding the Third Proportional to 599,670 and 1,288,268

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Solution

The third proportional to 599,670 and 1,288,268 is: 2,767,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,670 : 1,288,268 = 1,288,268 : x
  2. Step 2: Convert to fraction form
    599,670/1,288,268 = 1,288,268/x
  3. Step 3: Cross multiply
    599,670x = 1,288,268 × 1,288,268
  4. Step 4: Simplify right side
    599,670x = 1,659,634,439,824
  5. Step 5: Solve for x
    x = 1,659,634,439,824/599,670
  6. Step 6: Final answer
    x = 2,767,579.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.