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Finding the Third Proportional to 519,047 and 1,115,692

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Solution

The third proportional to 519,047 and 1,115,692 is: 2,398,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,047 : 1,115,692 = 1,115,692 : x
  2. Step 2: Convert to fraction form
    519,047/1,115,692 = 1,115,692/x
  3. Step 3: Cross multiply
    519,047x = 1,115,692 × 1,115,692
  4. Step 4: Simplify right side
    519,047x = 1,244,768,638,864
  5. Step 5: Solve for x
    x = 1,244,768,638,864/519,047
  6. Step 6: Final answer
    x = 2,398,180.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.