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Finding the Third Proportional to 505,021 and 1,090,162

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Solution

The third proportional to 505,021 and 1,090,162 is: 2,353,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,021 : 1,090,162 = 1,090,162 : x
  2. Step 2: Convert to fraction form
    505,021/1,090,162 = 1,090,162/x
  3. Step 3: Cross multiply
    505,021x = 1,090,162 × 1,090,162
  4. Step 4: Simplify right side
    505,021x = 1,188,453,186,244
  5. Step 5: Solve for x
    x = 1,188,453,186,244/505,021
  6. Step 6: Final answer
    x = 2,353,274.79

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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.