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Finding the Third Proportional to 503,930 and 1,093,180

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Solution

The third proportional to 503,930 and 1,093,180 is: 2,371,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,930 : 1,093,180 = 1,093,180 : x
  2. Step 2: Convert to fraction form
    503,930/1,093,180 = 1,093,180/x
  3. Step 3: Cross multiply
    503,930x = 1,093,180 × 1,093,180
  4. Step 4: Simplify right side
    503,930x = 1,195,042,512,400
  5. Step 5: Solve for x
    x = 1,195,042,512,400/503,930
  6. Step 6: Final answer
    x = 2,371,445.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.