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Finding the Third Proportional to 600,986 and 899,571

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Solution

The third proportional to 600,986 and 899,571 is: 1,346,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,986 : 899,571 = 899,571 : x
  2. Step 2: Convert to fraction form
    600,986/899,571 = 899,571/x
  3. Step 3: Cross multiply
    600,986x = 899,571 × 899,571
  4. Step 4: Simplify right side
    600,986x = 809,227,984,041
  5. Step 5: Solve for x
    x = 809,227,984,041/600,986
  6. Step 6: Final answer
    x = 1,346,500.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.