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Finding the Third Proportional to 427,954 and 927,268

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Solution

The third proportional to 427,954 and 927,268 is: 2,009,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,954 : 927,268 = 927,268 : x
  2. Step 2: Convert to fraction form
    427,954/927,268 = 927,268/x
  3. Step 3: Cross multiply
    427,954x = 927,268 × 927,268
  4. Step 4: Simplify right side
    427,954x = 859,825,943,824
  5. Step 5: Solve for x
    x = 859,825,943,824/427,954
  6. Step 6: Final answer
    x = 2,009,155.06

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Why These Related Problems?

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