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Finding the Third Proportional to 505,084 and 1,122,276

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Solution

The third proportional to 505,084 and 1,122,276 is: 2,493,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,084 : 1,122,276 = 1,122,276 : x
  2. Step 2: Convert to fraction form
    505,084/1,122,276 = 1,122,276/x
  3. Step 3: Cross multiply
    505,084x = 1,122,276 × 1,122,276
  4. Step 4: Simplify right side
    505,084x = 1,259,503,420,176
  5. Step 5: Solve for x
    x = 1,259,503,420,176/505,084
  6. Step 6: Final answer
    x = 2,493,651.39

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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.