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Finding the Third Proportional to 509,223 and 1,116,375

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Solution

The third proportional to 509,223 and 1,116,375 is: 2,447,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,223 : 1,116,375 = 1,116,375 : x
  2. Step 2: Convert to fraction form
    509,223/1,116,375 = 1,116,375/x
  3. Step 3: Cross multiply
    509,223x = 1,116,375 × 1,116,375
  4. Step 4: Simplify right side
    509,223x = 1,246,293,140,625
  5. Step 5: Solve for x
    x = 1,246,293,140,625/509,223
  6. Step 6: Final answer
    x = 2,447,440.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.