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Finding the Third Proportional to 1,645,211 and 2,542,496

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Solution

The third proportional to 1,645,211 and 2,542,496 is: 3,929,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,211 : 2,542,496 = 2,542,496 : x
  2. Step 2: Convert to fraction form
    1,645,211/2,542,496 = 2,542,496/x
  3. Step 3: Cross multiply
    1,645,211x = 2,542,496 × 2,542,496
  4. Step 4: Simplify right side
    1,645,211x = 6,464,285,910,016
  5. Step 5: Solve for x
    x = 6,464,285,910,016/1,645,211
  6. Step 6: Final answer
    x = 3,929,153.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.