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Finding the Third Proportional to 506,474 and 1,183,241

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Solution

The third proportional to 506,474 and 1,183,241 is: 2,764,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,474 : 1,183,241 = 1,183,241 : x
  2. Step 2: Convert to fraction form
    506,474/1,183,241 = 1,183,241/x
  3. Step 3: Cross multiply
    506,474x = 1,183,241 × 1,183,241
  4. Step 4: Simplify right side
    506,474x = 1,400,059,264,081
  5. Step 5: Solve for x
    x = 1,400,059,264,081/506,474
  6. Step 6: Final answer
    x = 2,764,326.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.