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Finding the Third Proportional to 1,419,966 and 2,144,733

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Solution

The third proportional to 1,419,966 and 2,144,733 is: 3,239,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,966 : 2,144,733 = 2,144,733 : x
  2. Step 2: Convert to fraction form
    1,419,966/2,144,733 = 2,144,733/x
  3. Step 3: Cross multiply
    1,419,966x = 2,144,733 × 2,144,733
  4. Step 4: Simplify right side
    1,419,966x = 4,599,879,641,289
  5. Step 5: Solve for x
    x = 4,599,879,641,289/1,419,966
  6. Step 6: Final answer
    x = 3,239,429.42

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Why These Related Problems?

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