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Finding the Third Proportional to 406,380 and 934,608

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Solution

The third proportional to 406,380 and 934,608 is: 2,149,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,380 : 934,608 = 934,608 : x
  2. Step 2: Convert to fraction form
    406,380/934,608 = 934,608/x
  3. Step 3: Cross multiply
    406,380x = 934,608 × 934,608
  4. Step 4: Simplify right side
    406,380x = 873,492,113,664
  5. Step 5: Solve for x
    x = 873,492,113,664/406,380
  6. Step 6: Final answer
    x = 2,149,446.61

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.