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Finding the Third Proportional to 538,117 and 1,181,194

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Solution

The third proportional to 538,117 and 1,181,194 is: 2,592,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,117 : 1,181,194 = 1,181,194 : x
  2. Step 2: Convert to fraction form
    538,117/1,181,194 = 1,181,194/x
  3. Step 3: Cross multiply
    538,117x = 1,181,194 × 1,181,194
  4. Step 4: Simplify right side
    538,117x = 1,395,219,265,636
  5. Step 5: Solve for x
    x = 1,395,219,265,636/538,117
  6. Step 6: Final answer
    x = 2,592,780.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.