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Finding the Third Proportional to 774,755 and 1,686,694

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Solution

The third proportional to 774,755 and 1,686,694 is: 3,672,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,755 : 1,686,694 = 1,686,694 : x
  2. Step 2: Convert to fraction form
    774,755/1,686,694 = 1,686,694/x
  3. Step 3: Cross multiply
    774,755x = 1,686,694 × 1,686,694
  4. Step 4: Simplify right side
    774,755x = 2,844,936,649,636
  5. Step 5: Solve for x
    x = 2,844,936,649,636/774,755
  6. Step 6: Final answer
    x = 3,672,046.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.