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Finding the Third Proportional to 436,224 and 925,179

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Solution

The third proportional to 436,224 and 925,179 is: 1,962,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,224 : 925,179 = 925,179 : x
  2. Step 2: Convert to fraction form
    436,224/925,179 = 925,179/x
  3. Step 3: Cross multiply
    436,224x = 925,179 × 925,179
  4. Step 4: Simplify right side
    436,224x = 855,956,182,041
  5. Step 5: Solve for x
    x = 855,956,182,041/436,224
  6. Step 6: Final answer
    x = 1,962,194.15

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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.