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Finding the Third Proportional to 505,234 and 1,080,494

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Solution

The third proportional to 505,234 and 1,080,494 is: 2,310,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,234 : 1,080,494 = 1,080,494 : x
  2. Step 2: Convert to fraction form
    505,234/1,080,494 = 1,080,494/x
  3. Step 3: Cross multiply
    505,234x = 1,080,494 × 1,080,494
  4. Step 4: Simplify right side
    505,234x = 1,167,467,284,036
  5. Step 5: Solve for x
    x = 1,167,467,284,036/505,234
  6. Step 6: Final answer
    x = 2,310,745.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.