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Finding the Third Proportional to 533,169 and 1,126,278

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Solution

The third proportional to 533,169 and 1,126,278 is: 2,379,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,169 : 1,126,278 = 1,126,278 : x
  2. Step 2: Convert to fraction form
    533,169/1,126,278 = 1,126,278/x
  3. Step 3: Cross multiply
    533,169x = 1,126,278 × 1,126,278
  4. Step 4: Simplify right side
    533,169x = 1,268,502,133,284
  5. Step 5: Solve for x
    x = 1,268,502,133,284/533,169
  6. Step 6: Final answer
    x = 2,379,174.58

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Why These Related Problems?

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