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Finding the Third Proportional to 814,925.25 and 1,770,093

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Solution

The third proportional to 814,925.25 and 1,770,093 is: 3,844,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,925.25 : 1,770,093 = 1,770,093 : x
  2. Step 2: Convert to fraction form
    814,925.25/1,770,093 = 1,770,093/x
  3. Step 3: Cross multiply
    814,925.25x = 1,770,093 × 1,770,093
  4. Step 4: Simplify right side
    814,925.25x = 3,133,229,228,649
  5. Step 5: Solve for x
    x = 3,133,229,228,649/814,925.25
  6. Step 6: Final answer
    x = 3,844,805.68

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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.