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Finding the Third Proportional to 538,200 and 1,132,164

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Solution

The third proportional to 538,200 and 1,132,164 is: 2,381,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,200 : 1,132,164 = 1,132,164 : x
  2. Step 2: Convert to fraction form
    538,200/1,132,164 = 1,132,164/x
  3. Step 3: Cross multiply
    538,200x = 1,132,164 × 1,132,164
  4. Step 4: Simplify right side
    538,200x = 1,281,795,322,896
  5. Step 5: Solve for x
    x = 1,281,795,322,896/538,200
  6. Step 6: Final answer
    x = 2,381,633.82

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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.