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Finding the Third Proportional to 190,219 and 449,846

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Solution

The third proportional to 190,219 and 449,846 is: 1,063,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,219 : 449,846 = 449,846 : x
  2. Step 2: Convert to fraction form
    190,219/449,846 = 449,846/x
  3. Step 3: Cross multiply
    190,219x = 449,846 × 449,846
  4. Step 4: Simplify right side
    190,219x = 202,361,423,716
  5. Step 5: Solve for x
    x = 202,361,423,716/190,219
  6. Step 6: Final answer
    x = 1,063,833.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.