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Finding the Third Proportional to 436,696 and 925,884

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Solution

The third proportional to 436,696 and 925,884 is: 1,963,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,696 : 925,884 = 925,884 : x
  2. Step 2: Convert to fraction form
    436,696/925,884 = 925,884/x
  3. Step 3: Cross multiply
    436,696x = 925,884 × 925,884
  4. Step 4: Simplify right side
    436,696x = 857,261,181,456
  5. Step 5: Solve for x
    x = 857,261,181,456/436,696
  6. Step 6: Final answer
    x = 1,963,061.68

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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.