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Finding the Third Proportional to 828,942.75 and 1,815,691.50

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Solution

The third proportional to 828,942.75 and 1,815,691.50 is: 3,977,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,942.75 : 1,815,691.50 = 1,815,691.50 : x
  2. Step 2: Convert to fraction form
    828,942.75/1,815,691.50 = 1,815,691.50/x
  3. Step 3: Cross multiply
    828,942.75x = 1,815,691.50 × 1,815,691.50
  4. Step 4: Simplify right side
    828,942.75x = 3,296,735,623,172.25
  5. Step 5: Solve for x
    x = 3,296,735,623,172.25/828,942.75
  6. Step 6: Final answer
    x = 3,977,036.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.