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Finding the Third Proportional to 436,115 and 925,069

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Solution

The third proportional to 436,115 and 925,069 is: 1,962,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,115 : 925,069 = 925,069 : x
  2. Step 2: Convert to fraction form
    436,115/925,069 = 925,069/x
  3. Step 3: Cross multiply
    436,115x = 925,069 × 925,069
  4. Step 4: Simplify right side
    436,115x = 855,752,654,761
  5. Step 5: Solve for x
    x = 855,752,654,761/436,115
  6. Step 6: Final answer
    x = 1,962,217.89

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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.