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Finding the Third Proportional to 436,828 and 934,380

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Solution

The third proportional to 436,828 and 934,380 is: 1,998,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,828 : 934,380 = 934,380 : x
  2. Step 2: Convert to fraction form
    436,828/934,380 = 934,380/x
  3. Step 3: Cross multiply
    436,828x = 934,380 × 934,380
  4. Step 4: Simplify right side
    436,828x = 873,065,984,400
  5. Step 5: Solve for x
    x = 873,065,984,400/436,828
  6. Step 6: Final answer
    x = 1,998,649.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.