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Finding the Third Proportional to 467,943.75 and 1,006,818.19

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Solution

The third proportional to 467,943.75 and 1,006,818.19 is: 2,166,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,943.75 : 1,006,818.19 = 1,006,818.19 : x
  2. Step 2: Convert to fraction form
    467,943.75/1,006,818.19 = 1,006,818.19/x
  3. Step 3: Cross multiply
    467,943.75x = 1,006,818.19 × 1,006,818.19
  4. Step 4: Simplify right side
    467,943.75x = 1,013,682,862,680.79
  5. Step 5: Solve for x
    x = 1,013,682,862,680.79/467,943.75
  6. Step 6: Final answer
    x = 2,166,249.39

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