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Finding the Third Proportional to 627,519 and 1,292,177

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Solution

The third proportional to 627,519 and 1,292,177 is: 2,660,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,519 : 1,292,177 = 1,292,177 : x
  2. Step 2: Convert to fraction form
    627,519/1,292,177 = 1,292,177/x
  3. Step 3: Cross multiply
    627,519x = 1,292,177 × 1,292,177
  4. Step 4: Simplify right side
    627,519x = 1,669,721,399,329
  5. Step 5: Solve for x
    x = 1,669,721,399,329/627,519
  6. Step 6: Final answer
    x = 2,660,830.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.