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Finding the Third Proportional to 406,110,414 and 890,074,859

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Solution

The third proportional to 406,110,414 and 890,074,859 is: 1,950,782,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,110,414 : 890,074,859 = 890,074,859 : x
  2. Step 2: Convert to fraction form
    406,110,414/890,074,859 = 890,074,859/x
  3. Step 3: Cross multiply
    406,110,414x = 890,074,859 × 890,074,859
  4. Step 4: Simplify right side
    406,110,414x = 792,233,254,623,869,824
  5. Step 5: Solve for x
    x = 792,233,254,623,869,824/406,110,414
  6. Step 6: Final answer
    x = 1,950,782,908.57

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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.