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Finding the Third Proportional to 701,422 and 1,534,092

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Solution

The third proportional to 701,422 and 1,534,092 is: 3,355,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,422 : 1,534,092 = 1,534,092 : x
  2. Step 2: Convert to fraction form
    701,422/1,534,092 = 1,534,092/x
  3. Step 3: Cross multiply
    701,422x = 1,534,092 × 1,534,092
  4. Step 4: Simplify right side
    701,422x = 2,353,438,264,464
  5. Step 5: Solve for x
    x = 2,353,438,264,464/701,422
  6. Step 6: Final answer
    x = 3,355,238.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.