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Finding the Third Proportional to 467,867 and 1,013,494

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Solution

The third proportional to 467,867 and 1,013,494 is: 2,195,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,867 : 1,013,494 = 1,013,494 : x
  2. Step 2: Convert to fraction form
    467,867/1,013,494 = 1,013,494/x
  3. Step 3: Cross multiply
    467,867x = 1,013,494 × 1,013,494
  4. Step 4: Simplify right side
    467,867x = 1,027,170,088,036
  5. Step 5: Solve for x
    x = 1,027,170,088,036/467,867
  6. Step 6: Final answer
    x = 2,195,431.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.