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Finding the Third Proportional to 599,408.86 and 1,284,315.75

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Solution

The third proportional to 599,408.86 and 1,284,315.75 is: 2,751,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,408.86 : 1,284,315.75 = 1,284,315.75 : x
  2. Step 2: Convert to fraction form
    599,408.86/1,284,315.75 = 1,284,315.75/x
  3. Step 3: Cross multiply
    599,408.86x = 1,284,315.75 × 1,284,315.75
  4. Step 4: Simplify right side
    599,408.86x = 1,649,466,945,698.06
  5. Step 5: Solve for x
    x = 1,649,466,945,698.06/599,408.86
  6. Step 6: Final answer
    x = 2,751,822.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.