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Finding the Third Proportional to 510,678 and 1,122,660

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Solution

The third proportional to 510,678 and 1,122,660 is: 2,468,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,678 : 1,122,660 = 1,122,660 : x
  2. Step 2: Convert to fraction form
    510,678/1,122,660 = 1,122,660/x
  3. Step 3: Cross multiply
    510,678x = 1,122,660 × 1,122,660
  4. Step 4: Simplify right side
    510,678x = 1,260,365,475,600
  5. Step 5: Solve for x
    x = 1,260,365,475,600/510,678
  6. Step 6: Final answer
    x = 2,468,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.