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Finding the Third Proportional to 519,816 and 827,040

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Solution

The third proportional to 519,816 and 827,040 is: 1,315,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,816 : 827,040 = 827,040 : x
  2. Step 2: Convert to fraction form
    519,816/827,040 = 827,040/x
  3. Step 3: Cross multiply
    519,816x = 827,040 × 827,040
  4. Step 4: Simplify right side
    519,816x = 683,995,161,600
  5. Step 5: Solve for x
    x = 683,995,161,600/519,816
  6. Step 6: Final answer
    x = 1,315,840.92

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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.