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Finding the Third Proportional to 535,474 and 1,126,172

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Solution

The third proportional to 535,474 and 1,126,172 is: 2,368,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,474 : 1,126,172 = 1,126,172 : x
  2. Step 2: Convert to fraction form
    535,474/1,126,172 = 1,126,172/x
  3. Step 3: Cross multiply
    535,474x = 1,126,172 × 1,126,172
  4. Step 4: Simplify right side
    535,474x = 1,268,263,373,584
  5. Step 5: Solve for x
    x = 1,268,263,373,584/535,474
  6. Step 6: Final answer
    x = 2,368,487.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.