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Finding the Third Proportional to 533,166 and 1,126,272

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Solution

The third proportional to 533,166 and 1,126,272 is: 2,379,162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,166 : 1,126,272 = 1,126,272 : x
  2. Step 2: Convert to fraction form
    533,166/1,126,272 = 1,126,272/x
  3. Step 3: Cross multiply
    533,166x = 1,126,272 × 1,126,272
  4. Step 4: Simplify right side
    533,166x = 1,268,488,617,984
  5. Step 5: Solve for x
    x = 1,268,488,617,984/533,166
  6. Step 6: Final answer
    x = 2,379,162.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.