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Finding the Third Proportional to 786,968 and 1,694,337

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Solution

The third proportional to 786,968 and 1,694,337 is: 3,647,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,968 : 1,694,337 = 1,694,337 : x
  2. Step 2: Convert to fraction form
    786,968/1,694,337 = 1,694,337/x
  3. Step 3: Cross multiply
    786,968x = 1,694,337 × 1,694,337
  4. Step 4: Simplify right side
    786,968x = 2,870,777,869,569
  5. Step 5: Solve for x
    x = 2,870,777,869,569/786,968
  6. Step 6: Final answer
    x = 3,647,896.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.