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Finding the Third Proportional to 600,990 and 899,577

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Solution

The third proportional to 600,990 and 899,577 is: 1,346,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,990 : 899,577 = 899,577 : x
  2. Step 2: Convert to fraction form
    600,990/899,577 = 899,577/x
  3. Step 3: Cross multiply
    600,990x = 899,577 × 899,577
  4. Step 4: Simplify right side
    600,990x = 809,238,778,929
  5. Step 5: Solve for x
    x = 809,238,778,929/600,990
  6. Step 6: Final answer
    x = 1,346,509.56

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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.