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Finding the Third Proportional to 1,022,230 and 1,603,672

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Solution

The third proportional to 1,022,230 and 1,603,672 is: 2,515,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,230 : 1,603,672 = 1,603,672 : x
  2. Step 2: Convert to fraction form
    1,022,230/1,603,672 = 1,603,672/x
  3. Step 3: Cross multiply
    1,022,230x = 1,603,672 × 1,603,672
  4. Step 4: Simplify right side
    1,022,230x = 2,571,763,883,584
  5. Step 5: Solve for x
    x = 2,571,763,883,584/1,022,230
  6. Step 6: Final answer
    x = 2,515,836.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.