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Finding the Third Proportional to 436,221 and 925,173

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Solution

The third proportional to 436,221 and 925,173 is: 1,962,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,221 : 925,173 = 925,173 : x
  2. Step 2: Convert to fraction form
    436,221/925,173 = 925,173/x
  3. Step 3: Cross multiply
    436,221x = 925,173 × 925,173
  4. Step 4: Simplify right side
    436,221x = 855,945,079,929
  5. Step 5: Solve for x
    x = 855,945,079,929/436,221
  6. Step 6: Final answer
    x = 1,962,182.20

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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.