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Finding the Third Proportional to 485,997.75 and 1,060,431.75

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Solution

The third proportional to 485,997.75 and 1,060,431.75 is: 2,313,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,997.75 : 1,060,431.75 = 1,060,431.75 : x
  2. Step 2: Convert to fraction form
    485,997.75/1,060,431.75 = 1,060,431.75/x
  3. Step 3: Cross multiply
    485,997.75x = 1,060,431.75 × 1,060,431.75
  4. Step 4: Simplify right side
    485,997.75x = 1,124,515,496,408.06
  5. Step 5: Solve for x
    x = 1,124,515,496,408.06/485,997.75
  6. Step 6: Final answer
    x = 2,313,828.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.