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Finding the Third Proportional to 414,694,304.25 and 890,930,363.25

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Solution

The third proportional to 414,694,304.25 and 890,930,363.25 is: 1,914,077,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,694,304.25 : 890,930,363.25 = 890,930,363.25 : x
  2. Step 2: Convert to fraction form
    414,694,304.25/890,930,363.25 = 890,930,363.25/x
  3. Step 3: Cross multiply
    414,694,304.25x = 890,930,363.25 × 890,930,363.25
  4. Step 4: Simplify right side
    414,694,304.25x = 793,756,912,160,776,960
  5. Step 5: Solve for x
    x = 793,756,912,160,776,960/414,694,304.25
  6. Step 6: Final answer
    x = 1,914,077,198.62

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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.