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Finding the Third Proportional to 436,720 and 925,930

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Solution

The third proportional to 436,720 and 925,930 is: 1,963,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,720 : 925,930 = 925,930 : x
  2. Step 2: Convert to fraction form
    436,720/925,930 = 925,930/x
  3. Step 3: Cross multiply
    436,720x = 925,930 × 925,930
  4. Step 4: Simplify right side
    436,720x = 857,346,364,900
  5. Step 5: Solve for x
    x = 857,346,364,900/436,720
  6. Step 6: Final answer
    x = 1,963,148.85

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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.