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Finding the Third Proportional to 436,492 and 939,728

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Solution

The third proportional to 436,492 and 939,728 is: 2,023,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,492 : 939,728 = 939,728 : x
  2. Step 2: Convert to fraction form
    436,492/939,728 = 939,728/x
  3. Step 3: Cross multiply
    436,492x = 939,728 × 939,728
  4. Step 4: Simplify right side
    436,492x = 883,088,713,984
  5. Step 5: Solve for x
    x = 883,088,713,984/436,492
  6. Step 6: Final answer
    x = 2,023,149.83

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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.