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Finding the Third Proportional to 3,433,164 and 5,193,924

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Solution

The third proportional to 3,433,164 and 5,193,924 is: 7,857,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,164 : 5,193,924 = 5,193,924 : x
  2. Step 2: Convert to fraction form
    3,433,164/5,193,924 = 5,193,924/x
  3. Step 3: Cross multiply
    3,433,164x = 5,193,924 × 5,193,924
  4. Step 4: Simplify right side
    3,433,164x = 26,976,846,517,776
  5. Step 5: Solve for x
    x = 26,976,846,517,776/3,433,164
  6. Step 6: Final answer
    x = 7,857,721.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.