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Finding the Third Proportional to 827,107.88 and 1,264,992.19

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Solution

The third proportional to 827,107.88 and 1,264,992.19 is: 1,934,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,107.88 : 1,264,992.19 = 1,264,992.19 : x
  2. Step 2: Convert to fraction form
    827,107.88/1,264,992.19 = 1,264,992.19/x
  3. Step 3: Cross multiply
    827,107.88x = 1,264,992.19 × 1,264,992.19
  4. Step 4: Simplify right side
    827,107.88x = 1,600,205,234,436.04
  5. Step 5: Solve for x
    x = 1,600,205,234,436.04/827,107.88
  6. Step 6: Final answer
    x = 1,934,699.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.