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Finding the Third Proportional to 766,524.38 and 1,612,499.63

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Solution

The third proportional to 766,524.38 and 1,612,499.63 is: 3,392,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,524.38 : 1,612,499.63 = 1,612,499.63 : x
  2. Step 2: Convert to fraction form
    766,524.38/1,612,499.63 = 1,612,499.63/x
  3. Step 3: Cross multiply
    766,524.38x = 1,612,499.63 × 1,612,499.63
  4. Step 4: Simplify right side
    766,524.38x = 2,600,155,040,625.14
  5. Step 5: Solve for x
    x = 2,600,155,040,625.14/766,524.38
  6. Step 6: Final answer
    x = 3,392,136.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.