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Finding the Third Proportional to 414,708,094 and 890,960,204

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Solution

The third proportional to 414,708,094 and 890,960,204 is: 1,914,141,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,708,094 : 890,960,204 = 890,960,204 : x
  2. Step 2: Convert to fraction form
    414,708,094/890,960,204 = 890,960,204/x
  3. Step 3: Cross multiply
    414,708,094x = 890,960,204 × 890,960,204
  4. Step 4: Simplify right side
    414,708,094x = 793,810,085,111,721,600
  5. Step 5: Solve for x
    x = 793,810,085,111,721,600/414,708,094
  6. Step 6: Final answer
    x = 1,914,141,770.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.