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Finding the Third Proportional to 529,831 and 1,135,418

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Solution

The third proportional to 529,831 and 1,135,418 is: 2,433,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,831 : 1,135,418 = 1,135,418 : x
  2. Step 2: Convert to fraction form
    529,831/1,135,418 = 1,135,418/x
  3. Step 3: Cross multiply
    529,831x = 1,135,418 × 1,135,418
  4. Step 4: Simplify right side
    529,831x = 1,289,174,034,724
  5. Step 5: Solve for x
    x = 1,289,174,034,724/529,831
  6. Step 6: Final answer
    x = 2,433,179.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.