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Finding the Third Proportional to 774,198 and 1,619,352

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Solution

The third proportional to 774,198 and 1,619,352 is: 3,387,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,198 : 1,619,352 = 1,619,352 : x
  2. Step 2: Convert to fraction form
    774,198/1,619,352 = 1,619,352/x
  3. Step 3: Cross multiply
    774,198x = 1,619,352 × 1,619,352
  4. Step 4: Simplify right side
    774,198x = 2,622,300,899,904
  5. Step 5: Solve for x
    x = 2,622,300,899,904/774,198
  6. Step 6: Final answer
    x = 3,387,119.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.