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Finding the Third Proportional to 505,042 and 1,122,190

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Solution

The third proportional to 505,042 and 1,122,190 is: 2,493,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,042 : 1,122,190 = 1,122,190 : x
  2. Step 2: Convert to fraction form
    505,042/1,122,190 = 1,122,190/x
  3. Step 3: Cross multiply
    505,042x = 1,122,190 × 1,122,190
  4. Step 4: Simplify right side
    505,042x = 1,259,310,396,100
  5. Step 5: Solve for x
    x = 1,259,310,396,100/505,042
  6. Step 6: Final answer
    x = 2,493,476.57

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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.