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Finding the Third Proportional to 485,847 and 1,129,438

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Solution

The third proportional to 485,847 and 1,129,438 is: 2,625,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,847 : 1,129,438 = 1,129,438 : x
  2. Step 2: Convert to fraction form
    485,847/1,129,438 = 1,129,438/x
  3. Step 3: Cross multiply
    485,847x = 1,129,438 × 1,129,438
  4. Step 4: Simplify right side
    485,847x = 1,275,630,195,844
  5. Step 5: Solve for x
    x = 1,275,630,195,844/485,847
  6. Step 6: Final answer
    x = 2,625,580.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.