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Finding the Third Proportional to 519,619 and 827,454

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Solution

The third proportional to 519,619 and 827,454 is: 1,317,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,619 : 827,454 = 827,454 : x
  2. Step 2: Convert to fraction form
    519,619/827,454 = 827,454/x
  3. Step 3: Cross multiply
    519,619x = 827,454 × 827,454
  4. Step 4: Simplify right side
    519,619x = 684,680,122,116
  5. Step 5: Solve for x
    x = 684,680,122,116/519,619
  6. Step 6: Final answer
    x = 1,317,657.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.