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Finding the Third Proportional to 392,731,914.75 and 854,415,788.25

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Solution

The third proportional to 392,731,914.75 and 854,415,788.25 is: 1,858,841,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,731,914.75 : 854,415,788.25 = 854,415,788.25 : x
  2. Step 2: Convert to fraction form
    392,731,914.75/854,415,788.25 = 854,415,788.25/x
  3. Step 3: Cross multiply
    392,731,914.75x = 854,415,788.25 × 854,415,788.25
  4. Step 4: Simplify right side
    392,731,914.75x = 730,026,339,210,868,864
  5. Step 5: Solve for x
    x = 730,026,339,210,868,864/392,731,914.75
  6. Step 6: Final answer
    x = 1,858,841,392.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.