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Finding the Third Proportional to 517,296 and 1,116,192

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Solution

The third proportional to 517,296 and 1,116,192 is: 2,408,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,296 : 1,116,192 = 1,116,192 : x
  2. Step 2: Convert to fraction form
    517,296/1,116,192 = 1,116,192/x
  3. Step 3: Cross multiply
    517,296x = 1,116,192 × 1,116,192
  4. Step 4: Simplify right side
    517,296x = 1,245,884,580,864
  5. Step 5: Solve for x
    x = 1,245,884,580,864/517,296
  6. Step 6: Final answer
    x = 2,408,455.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.