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Finding the Third Proportional to 519,810 and 783,555

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Solution

The third proportional to 519,810 and 783,555 is: 1,181,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,810 : 783,555 = 783,555 : x
  2. Step 2: Convert to fraction form
    519,810/783,555 = 783,555/x
  3. Step 3: Cross multiply
    519,810x = 783,555 × 783,555
  4. Step 4: Simplify right side
    519,810x = 613,958,438,025
  5. Step 5: Solve for x
    x = 613,958,438,025/519,810
  6. Step 6: Final answer
    x = 1,181,120.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.