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Finding the Third Proportional to 503,108 and 1,084,616

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Solution

The third proportional to 503,108 and 1,084,616 is: 2,338,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,108 : 1,084,616 = 1,084,616 : x
  2. Step 2: Convert to fraction form
    503,108/1,084,616 = 1,084,616/x
  3. Step 3: Cross multiply
    503,108x = 1,084,616 × 1,084,616
  4. Step 4: Simplify right side
    503,108x = 1,176,391,867,456
  5. Step 5: Solve for x
    x = 1,176,391,867,456/503,108
  6. Step 6: Final answer
    x = 2,338,249.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.