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Finding the Third Proportional to 414,687,939 and 890,917,614

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Solution

The third proportional to 414,687,939 and 890,917,614 is: 1,914,051,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687,939 : 890,917,614 = 890,917,614 : x
  2. Step 2: Convert to fraction form
    414,687,939/890,917,614 = 890,917,614/x
  3. Step 3: Cross multiply
    414,687,939x = 890,917,614 × 890,917,614
  4. Step 4: Simplify right side
    414,687,939x = 793,734,194,935,453,056
  5. Step 5: Solve for x
    x = 793,734,194,935,453,056/414,687,939
  6. Step 6: Final answer
    x = 1,914,051,797.24

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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.