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Finding the Third Proportional to 828,105.94 and 1,214,818.50

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Solution

The third proportional to 828,105.94 and 1,214,818.50 is: 1,782,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,105.94 : 1,214,818.50 = 1,214,818.50 : x
  2. Step 2: Convert to fraction form
    828,105.94/1,214,818.50 = 1,214,818.50/x
  3. Step 3: Cross multiply
    828,105.94x = 1,214,818.50 × 1,214,818.50
  4. Step 4: Simplify right side
    828,105.94x = 1,475,783,987,942.25
  5. Step 5: Solve for x
    x = 1,475,783,987,942.25/828,105.94
  6. Step 6: Final answer
    x = 1,782,119.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.