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Finding the Third Proportional to 773,794.50 and 1,696,902.75

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Solution

The third proportional to 773,794.50 and 1,696,902.75 is: 3,721,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,794.50 : 1,696,902.75 = 1,696,902.75 : x
  2. Step 2: Convert to fraction form
    773,794.50/1,696,902.75 = 1,696,902.75/x
  3. Step 3: Cross multiply
    773,794.50x = 1,696,902.75 × 1,696,902.75
  4. Step 4: Simplify right side
    773,794.50x = 2,879,478,942,957.56
  5. Step 5: Solve for x
    x = 2,879,478,942,957.56/773,794.50
  6. Step 6: Final answer
    x = 3,721,245.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.