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Finding the Third Proportional to 450,648 and 978,326

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Solution

The third proportional to 450,648 and 978,326 is: 2,123,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,648 : 978,326 = 978,326 : x
  2. Step 2: Convert to fraction form
    450,648/978,326 = 978,326/x
  3. Step 3: Cross multiply
    450,648x = 978,326 × 978,326
  4. Step 4: Simplify right side
    450,648x = 957,121,762,276
  5. Step 5: Solve for x
    x = 957,121,762,276/450,648
  6. Step 6: Final answer
    x = 2,123,878.86

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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.