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Finding the Third Proportional to 748,500.75 and 1,696,872.80

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Solution

The third proportional to 748,500.75 and 1,696,872.80 is: 3,846,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,500.75 : 1,696,872.80 = 1,696,872.80 : x
  2. Step 2: Convert to fraction form
    748,500.75/1,696,872.80 = 1,696,872.80/x
  3. Step 3: Cross multiply
    748,500.75x = 1,696,872.80 × 1,696,872.80
  4. Step 4: Simplify right side
    748,500.75x = 2,879,377,288,774.39
  5. Step 5: Solve for x
    x = 2,879,377,288,774.39/748,500.75
  6. Step 6: Final answer
    x = 3,846,859.59

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.