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Finding the Third Proportional to 842,193.75 and 1,826,265

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Solution

The third proportional to 842,193.75 and 1,826,265 is: 3,960,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,193.75 : 1,826,265 = 1,826,265 : x
  2. Step 2: Convert to fraction form
    842,193.75/1,826,265 = 1,826,265/x
  3. Step 3: Cross multiply
    842,193.75x = 1,826,265 × 1,826,265
  4. Step 4: Simplify right side
    842,193.75x = 3,335,243,850,225
  5. Step 5: Solve for x
    x = 3,335,243,850,225/842,193.75
  6. Step 6: Final answer
    x = 3,960,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.