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Finding the Third Proportional to 519,824 and 827,052

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Solution

The third proportional to 519,824 and 827,052 is: 1,315,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,824 : 827,052 = 827,052 : x
  2. Step 2: Convert to fraction form
    519,824/827,052 = 827,052/x
  3. Step 3: Cross multiply
    519,824x = 827,052 × 827,052
  4. Step 4: Simplify right side
    519,824x = 684,015,010,704
  5. Step 5: Solve for x
    x = 684,015,010,704/519,824
  6. Step 6: Final answer
    x = 1,315,858.85

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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.