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Finding the Third Proportional to 2,049,480 and 3,274,092

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Solution

The third proportional to 2,049,480 and 3,274,092 is: 5,230,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,480 : 3,274,092 = 3,274,092 : x
  2. Step 2: Convert to fraction form
    2,049,480/3,274,092 = 3,274,092/x
  3. Step 3: Cross multiply
    2,049,480x = 3,274,092 × 3,274,092
  4. Step 4: Simplify right side
    2,049,480x = 10,719,678,424,464
  5. Step 5: Solve for x
    x = 10,719,678,424,464/2,049,480
  6. Step 6: Final answer
    x = 5,230,438.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.