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Finding the Third Proportional to 519,174 and 1,115,910

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Solution

The third proportional to 519,174 and 1,115,910 is: 2,398,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,174 : 1,115,910 = 1,115,910 : x
  2. Step 2: Convert to fraction form
    519,174/1,115,910 = 1,115,910/x
  3. Step 3: Cross multiply
    519,174x = 1,115,910 × 1,115,910
  4. Step 4: Simplify right side
    519,174x = 1,245,255,128,100
  5. Step 5: Solve for x
    x = 1,245,255,128,100/519,174
  6. Step 6: Final answer
    x = 2,398,531.38

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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.