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Finding the Third Proportional to 484,872 and 1,028,847

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Solution

The third proportional to 484,872 and 1,028,847 is: 2,183,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,872 : 1,028,847 = 1,028,847 : x
  2. Step 2: Convert to fraction form
    484,872/1,028,847 = 1,028,847/x
  3. Step 3: Cross multiply
    484,872x = 1,028,847 × 1,028,847
  4. Step 4: Simplify right side
    484,872x = 1,058,526,149,409
  5. Step 5: Solve for x
    x = 1,058,526,149,409/484,872
  6. Step 6: Final answer
    x = 2,183,104.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.