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Finding the Third Proportional to 436,542 and 939,828

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Solution

The third proportional to 436,542 and 939,828 is: 2,023,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,542 : 939,828 = 939,828 : x
  2. Step 2: Convert to fraction form
    436,542/939,828 = 939,828/x
  3. Step 3: Cross multiply
    436,542x = 939,828 × 939,828
  4. Step 4: Simplify right side
    436,542x = 883,276,669,584
  5. Step 5: Solve for x
    x = 883,276,669,584/436,542
  6. Step 6: Final answer
    x = 2,023,348.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.