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Finding the Third Proportional to 600,619 and 808,993

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Solution

The third proportional to 600,619 and 808,993 is: 1,089,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,619 : 808,993 = 808,993 : x
  2. Step 2: Convert to fraction form
    600,619/808,993 = 808,993/x
  3. Step 3: Cross multiply
    600,619x = 808,993 × 808,993
  4. Step 4: Simplify right side
    600,619x = 654,469,674,049
  5. Step 5: Solve for x
    x = 654,469,674,049/600,619
  6. Step 6: Final answer
    x = 1,089,658.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.