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Finding the Third Proportional to 519,816 and 783,564

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Solution

The third proportional to 519,816 and 783,564 is: 1,181,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,816 : 783,564 = 783,564 : x
  2. Step 2: Convert to fraction form
    519,816/783,564 = 783,564/x
  3. Step 3: Cross multiply
    519,816x = 783,564 × 783,564
  4. Step 4: Simplify right side
    519,816x = 613,972,542,096
  5. Step 5: Solve for x
    x = 613,972,542,096/519,816
  6. Step 6: Final answer
    x = 1,181,134.37

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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.