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Finding the Third Proportional to 406,436 and 890,360

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Solution

The third proportional to 406,436 and 890,360 is: 1,950,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,436 : 890,360 = 890,360 : x
  2. Step 2: Convert to fraction form
    406,436/890,360 = 890,360/x
  3. Step 3: Cross multiply
    406,436x = 890,360 × 890,360
  4. Step 4: Simplify right side
    406,436x = 792,740,929,600
  5. Step 5: Solve for x
    x = 792,740,929,600/406,436
  6. Step 6: Final answer
    x = 1,950,469.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.