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Finding the Third Proportional to 470,408 and 1,016,268

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Solution

The third proportional to 470,408 and 1,016,268 is: 2,195,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,408 : 1,016,268 = 1,016,268 : x
  2. Step 2: Convert to fraction form
    470,408/1,016,268 = 1,016,268/x
  3. Step 3: Cross multiply
    470,408x = 1,016,268 × 1,016,268
  4. Step 4: Simplify right side
    470,408x = 1,032,800,647,824
  5. Step 5: Solve for x
    x = 1,032,800,647,824/470,408
  6. Step 6: Final answer
    x = 2,195,542.27

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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.