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Finding the Third Proportional to 533,414 and 1,259,165

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Solution

The third proportional to 533,414 and 1,259,165 is: 2,972,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414 : 1,259,165 = 1,259,165 : x
  2. Step 2: Convert to fraction form
    533,414/1,259,165 = 1,259,165/x
  3. Step 3: Cross multiply
    533,414x = 1,259,165 × 1,259,165
  4. Step 4: Simplify right side
    533,414x = 1,585,496,497,225
  5. Step 5: Solve for x
    x = 1,585,496,497,225/533,414
  6. Step 6: Final answer
    x = 2,972,356.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.