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Finding the Third Proportional to 479,811 and 1,033,434

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Solution

The third proportional to 479,811 and 1,033,434 is: 2,225,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,811 : 1,033,434 = 1,033,434 : x
  2. Step 2: Convert to fraction form
    479,811/1,033,434 = 1,033,434/x
  3. Step 3: Cross multiply
    479,811x = 1,033,434 × 1,033,434
  4. Step 4: Simplify right side
    479,811x = 1,067,985,832,356
  5. Step 5: Solve for x
    x = 1,067,985,832,356/479,811
  6. Step 6: Final answer
    x = 2,225,846.91

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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.