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Finding the Third Proportional to 802,890.75 and 1,229,766

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Solution

The third proportional to 802,890.75 and 1,229,766 is: 1,883,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,890.75 : 1,229,766 = 1,229,766 : x
  2. Step 2: Convert to fraction form
    802,890.75/1,229,766 = 1,229,766/x
  3. Step 3: Cross multiply
    802,890.75x = 1,229,766 × 1,229,766
  4. Step 4: Simplify right side
    802,890.75x = 1,512,324,414,756
  5. Step 5: Solve for x
    x = 1,512,324,414,756/802,890.75
  6. Step 6: Final answer
    x = 1,883,599.25

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Why These Related Problems?

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