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Finding the Third Proportional to 2,049,564 and 3,274,210

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Solution

The third proportional to 2,049,564 and 3,274,210 is: 5,230,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,564 : 3,274,210 = 3,274,210 : x
  2. Step 2: Convert to fraction form
    2,049,564/3,274,210 = 3,274,210/x
  3. Step 3: Cross multiply
    2,049,564x = 3,274,210 × 3,274,210
  4. Step 4: Simplify right side
    2,049,564x = 10,720,451,124,100
  5. Step 5: Solve for x
    x = 10,720,451,124,100/2,049,564
  6. Step 6: Final answer
    x = 5,230,600.81

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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.