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Finding the Third Proportional to 413,512 and 890,380

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Solution

The third proportional to 413,512 and 890,380 is: 1,917,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,512 : 890,380 = 890,380 : x
  2. Step 2: Convert to fraction form
    413,512/890,380 = 890,380/x
  3. Step 3: Cross multiply
    413,512x = 890,380 × 890,380
  4. Step 4: Simplify right side
    413,512x = 792,776,544,400
  5. Step 5: Solve for x
    x = 792,776,544,400/413,512
  6. Step 6: Final answer
    x = 1,917,179.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.