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Finding the Third Proportional to 1,964,472 and 2,954,019

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Solution

The third proportional to 1,964,472 and 2,954,019 is: 4,442,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,472 : 2,954,019 = 2,954,019 : x
  2. Step 2: Convert to fraction form
    1,964,472/2,954,019 = 2,954,019/x
  3. Step 3: Cross multiply
    1,964,472x = 2,954,019 × 2,954,019
  4. Step 4: Simplify right side
    1,964,472x = 8,726,228,252,361
  5. Step 5: Solve for x
    x = 8,726,228,252,361/1,964,472
  6. Step 6: Final answer
    x = 4,442,022.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.