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Finding the Third Proportional to 802,059.75 and 1,783,446.75

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Solution

The third proportional to 802,059.75 and 1,783,446.75 is: 3,965,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,059.75 : 1,783,446.75 = 1,783,446.75 : x
  2. Step 2: Convert to fraction form
    802,059.75/1,783,446.75 = 1,783,446.75/x
  3. Step 3: Cross multiply
    802,059.75x = 1,783,446.75 × 1,783,446.75
  4. Step 4: Simplify right side
    802,059.75x = 3,180,682,310,085.56
  5. Step 5: Solve for x
    x = 3,180,682,310,085.56/802,059.75
  6. Step 6: Final answer
    x = 3,965,642.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.