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Finding the Third Proportional to 823,952.25 and 1,235,115

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Solution

The third proportional to 823,952.25 and 1,235,115 is: 1,851,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,952.25 : 1,235,115 = 1,235,115 : x
  2. Step 2: Convert to fraction form
    823,952.25/1,235,115 = 1,235,115/x
  3. Step 3: Cross multiply
    823,952.25x = 1,235,115 × 1,235,115
  4. Step 4: Simplify right side
    823,952.25x = 1,525,509,063,225
  5. Step 5: Solve for x
    x = 1,525,509,063,225/823,952.25
  6. Step 6: Final answer
    x = 1,851,453.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.