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Finding the Third Proportional to 505,082 and 1,122,272

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Solution

The third proportional to 505,082 and 1,122,272 is: 2,493,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,082 : 1,122,272 = 1,122,272 : x
  2. Step 2: Convert to fraction form
    505,082/1,122,272 = 1,122,272/x
  3. Step 3: Cross multiply
    505,082x = 1,122,272 × 1,122,272
  4. Step 4: Simplify right side
    505,082x = 1,259,494,441,984
  5. Step 5: Solve for x
    x = 1,259,494,441,984/505,082
  6. Step 6: Final answer
    x = 2,493,643.49

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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.