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Finding the Third Proportional to 609,193 and 1,320,081

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Solution

The third proportional to 609,193 and 1,320,081 is: 2,860,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,193 : 1,320,081 = 1,320,081 : x
  2. Step 2: Convert to fraction form
    609,193/1,320,081 = 1,320,081/x
  3. Step 3: Cross multiply
    609,193x = 1,320,081 × 1,320,081
  4. Step 4: Simplify right side
    609,193x = 1,742,613,846,561
  5. Step 5: Solve for x
    x = 1,742,613,846,561/609,193
  6. Step 6: Final answer
    x = 2,860,528.35

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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.