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Finding the Third Proportional to 825,963.75 and 1,211,652

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Solution

The third proportional to 825,963.75 and 1,211,652 is: 1,777,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,963.75 : 1,211,652 = 1,211,652 : x
  2. Step 2: Convert to fraction form
    825,963.75/1,211,652 = 1,211,652/x
  3. Step 3: Cross multiply
    825,963.75x = 1,211,652 × 1,211,652
  4. Step 4: Simplify right side
    825,963.75x = 1,468,100,569,104
  5. Step 5: Solve for x
    x = 1,468,100,569,104/825,963.75
  6. Step 6: Final answer
    x = 1,777,439.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.