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Finding the Third Proportional to 599,724 and 1,288,372

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Solution

The third proportional to 599,724 and 1,288,372 is: 2,767,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,724 : 1,288,372 = 1,288,372 : x
  2. Step 2: Convert to fraction form
    599,724/1,288,372 = 1,288,372/x
  3. Step 3: Cross multiply
    599,724x = 1,288,372 × 1,288,372
  4. Step 4: Simplify right side
    599,724x = 1,659,902,410,384
  5. Step 5: Solve for x
    x = 1,659,902,410,384/599,724
  6. Step 6: Final answer
    x = 2,767,777.19

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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.