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Finding the Third Proportional to 517,022 and 1,093,657

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Solution

The third proportional to 517,022 and 1,093,657 is: 2,313,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,022 : 1,093,657 = 1,093,657 : x
  2. Step 2: Convert to fraction form
    517,022/1,093,657 = 1,093,657/x
  3. Step 3: Cross multiply
    517,022x = 1,093,657 × 1,093,657
  4. Step 4: Simplify right side
    517,022x = 1,196,085,633,649
  5. Step 5: Solve for x
    x = 1,196,085,633,649/517,022
  6. Step 6: Final answer
    x = 2,313,413.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.