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Finding the Third Proportional to 436,716 and 925,920

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Solution

The third proportional to 436,716 and 925,920 is: 1,963,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,716 : 925,920 = 925,920 : x
  2. Step 2: Convert to fraction form
    436,716/925,920 = 925,920/x
  3. Step 3: Cross multiply
    436,716x = 925,920 × 925,920
  4. Step 4: Simplify right side
    436,716x = 857,327,846,400
  5. Step 5: Solve for x
    x = 857,327,846,400/436,716
  6. Step 6: Final answer
    x = 1,963,124.43

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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.