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Finding the Third Proportional to 505,084 and 1,109,797

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Solution

The third proportional to 505,084 and 1,109,797 is: 2,438,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,084 : 1,109,797 = 1,109,797 : x
  2. Step 2: Convert to fraction form
    505,084/1,109,797 = 1,109,797/x
  3. Step 3: Cross multiply
    505,084x = 1,109,797 × 1,109,797
  4. Step 4: Simplify right side
    505,084x = 1,231,649,381,209
  5. Step 5: Solve for x
    x = 1,231,649,381,209/505,084
  6. Step 6: Final answer
    x = 2,438,504.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.