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Finding the Third Proportional to 813,381.75 and 1,786,333.50

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Solution

The third proportional to 813,381.75 and 1,786,333.50 is: 3,923,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,381.75 : 1,786,333.50 = 1,786,333.50 : x
  2. Step 2: Convert to fraction form
    813,381.75/1,786,333.50 = 1,786,333.50/x
  3. Step 3: Cross multiply
    813,381.75x = 1,786,333.50 × 1,786,333.50
  4. Step 4: Simplify right side
    813,381.75x = 3,190,987,373,222.25
  5. Step 5: Solve for x
    x = 3,190,987,373,222.25/813,381.75
  6. Step 6: Final answer
    x = 3,923,111.59

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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.