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Finding the Third Proportional to 599,197 and 1,272,266

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Solution

The third proportional to 599,197 and 1,272,266 is: 2,701,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,197 : 1,272,266 = 1,272,266 : x
  2. Step 2: Convert to fraction form
    599,197/1,272,266 = 1,272,266/x
  3. Step 3: Cross multiply
    599,197x = 1,272,266 × 1,272,266
  4. Step 4: Simplify right side
    599,197x = 1,618,660,774,756
  5. Step 5: Solve for x
    x = 1,618,660,774,756/599,197
  6. Step 6: Final answer
    x = 2,701,383.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.