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Finding the Third Proportional to 505,287 and 1,096,326

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Solution

The third proportional to 505,287 and 1,096,326 is: 2,378,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,287 : 1,096,326 = 1,096,326 : x
  2. Step 2: Convert to fraction form
    505,287/1,096,326 = 1,096,326/x
  3. Step 3: Cross multiply
    505,287x = 1,096,326 × 1,096,326
  4. Step 4: Simplify right side
    505,287x = 1,201,930,698,276
  5. Step 5: Solve for x
    x = 1,201,930,698,276/505,287
  6. Step 6: Final answer
    x = 2,378,708.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.