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Finding the Third Proportional to 414,687,941 and 890,917,618

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Solution

The third proportional to 414,687,941 and 890,917,618 is: 1,914,051,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687,941 : 890,917,618 = 890,917,618 : x
  2. Step 2: Convert to fraction form
    414,687,941/890,917,618 = 890,917,618/x
  3. Step 3: Cross multiply
    414,687,941x = 890,917,618 × 890,917,618
  4. Step 4: Simplify right side
    414,687,941x = 793,734,202,062,793,984
  5. Step 5: Solve for x
    x = 793,734,202,062,793,984/414,687,941
  6. Step 6: Final answer
    x = 1,914,051,805.19

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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.