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Finding the Third Proportional to 381,884 and 840,010

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Solution

The third proportional to 381,884 and 840,010 is: 1,847,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,884 : 840,010 = 840,010 : x
  2. Step 2: Convert to fraction form
    381,884/840,010 = 840,010/x
  3. Step 3: Cross multiply
    381,884x = 840,010 × 840,010
  4. Step 4: Simplify right side
    381,884x = 705,616,800,100
  5. Step 5: Solve for x
    x = 705,616,800,100/381,884
  6. Step 6: Final answer
    x = 1,847,725.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.