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Finding the Third Proportional to 842,744.25 and 1,857,267.75

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Solution

The third proportional to 842,744.25 and 1,857,267.75 is: 4,093,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,744.25 : 1,857,267.75 = 1,857,267.75 : x
  2. Step 2: Convert to fraction form
    842,744.25/1,857,267.75 = 1,857,267.75/x
  3. Step 3: Cross multiply
    842,744.25x = 1,857,267.75 × 1,857,267.75
  4. Step 4: Simplify right side
    842,744.25x = 3,449,443,495,190.06
  5. Step 5: Solve for x
    x = 3,449,443,495,190.06/842,744.25
  6. Step 6: Final answer
    x = 4,093,108.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.