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Finding the Third Proportional to 828,177.75 and 1,691,185.50

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Solution

The third proportional to 828,177.75 and 1,691,185.50 is: 3,453,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,177.75 : 1,691,185.50 = 1,691,185.50 : x
  2. Step 2: Convert to fraction form
    828,177.75/1,691,185.50 = 1,691,185.50/x
  3. Step 3: Cross multiply
    828,177.75x = 1,691,185.50 × 1,691,185.50
  4. Step 4: Simplify right side
    828,177.75x = 2,860,108,395,410.25
  5. Step 5: Solve for x
    x = 2,860,108,395,410.25/828,177.75
  6. Step 6: Final answer
    x = 3,453,495.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.