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Finding the Third Proportional to 467,942.06 and 1,006,813.13

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Solution

The third proportional to 467,942.06 and 1,006,813.13 is: 2,166,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,942.06 : 1,006,813.13 = 1,006,813.13 : x
  2. Step 2: Convert to fraction form
    467,942.06/1,006,813.13 = 1,006,813.13/x
  3. Step 3: Cross multiply
    467,942.06x = 1,006,813.13 × 1,006,813.13
  4. Step 4: Simplify right side
    467,942.06x = 1,013,672,668,672.27
  5. Step 5: Solve for x
    x = 1,013,672,668,672.27/467,942.06
  6. Step 6: Final answer
    x = 2,166,235.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.