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Finding the Third Proportional to 1,684,524 and 3,664,193

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Solution

The third proportional to 1,684,524 and 3,664,193 is: 7,970,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,524 : 3,664,193 = 3,664,193 : x
  2. Step 2: Convert to fraction form
    1,684,524/3,664,193 = 3,664,193/x
  3. Step 3: Cross multiply
    1,684,524x = 3,664,193 × 3,664,193
  4. Step 4: Simplify right side
    1,684,524x = 13,426,310,341,249
  5. Step 5: Solve for x
    x = 13,426,310,341,249/1,684,524
  6. Step 6: Final answer
    x = 7,970,388.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.