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Finding the Third Proportional to 419,484,192 and 855,622,848

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Solution

The third proportional to 419,484,192 and 855,622,848 is: 1,745,215,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,484,192 : 855,622,848 = 855,622,848 : x
  2. Step 2: Convert to fraction form
    419,484,192/855,622,848 = 855,622,848/x
  3. Step 3: Cross multiply
    419,484,192x = 855,622,848 × 855,622,848
  4. Step 4: Simplify right side
    419,484,192x = 732,090,458,019,631,104
  5. Step 5: Solve for x
    x = 732,090,458,019,631,104/419,484,192
  6. Step 6: Final answer
    x = 1,745,215,843.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.