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Finding the Third Proportional to 505,067 and 1,090,254

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Solution

The third proportional to 505,067 and 1,090,254 is: 2,353,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,067 : 1,090,254 = 1,090,254 : x
  2. Step 2: Convert to fraction form
    505,067/1,090,254 = 1,090,254/x
  3. Step 3: Cross multiply
    505,067x = 1,090,254 × 1,090,254
  4. Step 4: Simplify right side
    505,067x = 1,188,653,784,516
  5. Step 5: Solve for x
    x = 1,188,653,784,516/505,067
  6. Step 6: Final answer
    x = 2,353,457.63

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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.