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Finding the Third Proportional to 519,183 and 1,126,494

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Solution

The third proportional to 519,183 and 1,126,494 is: 2,444,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,183 : 1,126,494 = 1,126,494 : x
  2. Step 2: Convert to fraction form
    519,183/1,126,494 = 1,126,494/x
  3. Step 3: Cross multiply
    519,183x = 1,126,494 × 1,126,494
  4. Step 4: Simplify right side
    519,183x = 1,268,988,732,036
  5. Step 5: Solve for x
    x = 1,268,988,732,036/519,183
  6. Step 6: Final answer
    x = 2,444,203.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.