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Finding the Third Proportional to 452,872.69 and 925,408.13

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Solution

The third proportional to 452,872.69 and 925,408.13 is: 1,890,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,872.69 : 925,408.13 = 925,408.13 : x
  2. Step 2: Convert to fraction form
    452,872.69/925,408.13 = 925,408.13/x
  3. Step 3: Cross multiply
    452,872.69x = 925,408.13 × 925,408.13
  4. Step 4: Simplify right side
    452,872.69x = 856,380,197,816.02
  5. Step 5: Solve for x
    x = 856,380,197,816.02/452,872.69
  6. Step 6: Final answer
    x = 1,890,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.