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Finding the Third Proportional to 496,531.27 and 1,052,649.42

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Solution

The third proportional to 496,531.27 and 1,052,649.42 is: 2,231,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,531.27 : 1,052,649.42 = 1,052,649.42 : x
  2. Step 2: Convert to fraction form
    496,531.27/1,052,649.42 = 1,052,649.42/x
  3. Step 3: Cross multiply
    496,531.27x = 1,052,649.42 × 1,052,649.42
  4. Step 4: Simplify right side
    496,531.27x = 1,108,070,805,373.77
  5. Step 5: Solve for x
    x = 1,108,070,805,373.77/496,531.27
  6. Step 6: Final answer
    x = 2,231,623.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.