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Finding the Third Proportional to 806,794 and 1,738,075

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Solution

The third proportional to 806,794 and 1,738,075 is: 3,744,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,794 : 1,738,075 = 1,738,075 : x
  2. Step 2: Convert to fraction form
    806,794/1,738,075 = 1,738,075/x
  3. Step 3: Cross multiply
    806,794x = 1,738,075 × 1,738,075
  4. Step 4: Simplify right side
    806,794x = 3,020,904,705,625
  5. Step 5: Solve for x
    x = 3,020,904,705,625/806,794
  6. Step 6: Final answer
    x = 3,744,332.14

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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.