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Finding the Third Proportional to 414,694,230 and 890,930,208

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Solution

The third proportional to 414,694,230 and 890,930,208 is: 1,914,076,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,694,230 : 890,930,208 = 890,930,208 : x
  2. Step 2: Convert to fraction form
    414,694,230/890,930,208 = 890,930,208/x
  3. Step 3: Cross multiply
    414,694,230x = 890,930,208 × 890,930,208
  4. Step 4: Simplify right side
    414,694,230x = 793,756,635,526,923,264
  5. Step 5: Solve for x
    x = 793,756,635,526,923,264/414,694,230
  6. Step 6: Final answer
    x = 1,914,076,874.25

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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.