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Finding the Third Proportional to 436,734 and 925,962

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Solution

The third proportional to 436,734 and 925,962 is: 1,963,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,734 : 925,962 = 925,962 : x
  2. Step 2: Convert to fraction form
    436,734/925,962 = 925,962/x
  3. Step 3: Cross multiply
    436,734x = 925,962 × 925,962
  4. Step 4: Simplify right side
    436,734x = 857,405,625,444
  5. Step 5: Solve for x
    x = 857,405,625,444/436,734
  6. Step 6: Final answer
    x = 1,963,221.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.