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Finding the Third Proportional to 505,049 and 1,122,205

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Solution

The third proportional to 505,049 and 1,122,205 is: 2,493,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,049 : 1,122,205 = 1,122,205 : x
  2. Step 2: Convert to fraction form
    505,049/1,122,205 = 1,122,205/x
  3. Step 3: Cross multiply
    505,049x = 1,122,205 × 1,122,205
  4. Step 4: Simplify right side
    505,049x = 1,259,344,062,025
  5. Step 5: Solve for x
    x = 1,259,344,062,025/505,049
  6. Step 6: Final answer
    x = 2,493,508.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.