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Finding the Third Proportional to 414,693,810 and 890,929,392

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Solution

The third proportional to 414,693,810 and 890,929,392 is: 1,914,075,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,693,810 : 890,929,392 = 890,929,392 : x
  2. Step 2: Convert to fraction form
    414,693,810/890,929,392 = 890,929,392/x
  3. Step 3: Cross multiply
    414,693,810x = 890,929,392 × 890,929,392
  4. Step 4: Simplify right side
    414,693,810x = 793,755,181,529,489,664
  5. Step 5: Solve for x
    x = 793,755,181,529,489,664/414,693,810
  6. Step 6: Final answer
    x = 1,914,075,306.62

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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.