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Finding the Third Proportional to 436,093.88 and 925,025.06

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Solution

The third proportional to 436,093.88 and 925,025.06 is: 1,962,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,093.88 : 925,025.06 = 925,025.06 : x
  2. Step 2: Convert to fraction form
    436,093.88/925,025.06 = 925,025.06/x
  3. Step 3: Cross multiply
    436,093.88x = 925,025.06 × 925,025.06
  4. Step 4: Simplify right side
    436,093.88x = 855,671,366,253.13
  5. Step 5: Solve for x
    x = 855,671,366,253.13/436,093.88
  6. Step 6: Final answer
    x = 1,962,126.54

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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.