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Finding the Third Proportional to 498,460 and 1,067,794

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Solution

The third proportional to 498,460 and 1,067,794 is: 2,287,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,460 : 1,067,794 = 1,067,794 : x
  2. Step 2: Convert to fraction form
    498,460/1,067,794 = 1,067,794/x
  3. Step 3: Cross multiply
    498,460x = 1,067,794 × 1,067,794
  4. Step 4: Simplify right side
    498,460x = 1,140,184,026,436
  5. Step 5: Solve for x
    x = 1,140,184,026,436/498,460
  6. Step 6: Final answer
    x = 2,287,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.