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Finding the Third Proportional to 519,618 and 827,448

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Solution

The third proportional to 519,618 and 827,448 is: 1,317,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,618 : 827,448 = 827,448 : x
  2. Step 2: Convert to fraction form
    519,618/827,448 = 827,448/x
  3. Step 3: Cross multiply
    519,618x = 827,448 × 827,448
  4. Step 4: Simplify right side
    519,618x = 684,670,192,704
  5. Step 5: Solve for x
    x = 684,670,192,704/519,618
  6. Step 6: Final answer
    x = 1,317,641.41

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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.