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Finding the Third Proportional to 465,236 and 1,022,226

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Solution

The third proportional to 465,236 and 1,022,226 is: 2,246,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,236 : 1,022,226 = 1,022,226 : x
  2. Step 2: Convert to fraction form
    465,236/1,022,226 = 1,022,226/x
  3. Step 3: Cross multiply
    465,236x = 1,022,226 × 1,022,226
  4. Step 4: Simplify right side
    465,236x = 1,044,945,995,076
  5. Step 5: Solve for x
    x = 1,044,945,995,076/465,236
  6. Step 6: Final answer
    x = 2,246,055.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.