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Finding the Third Proportional to 1,092,965,186 and 1,678,914,219

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Solution

The third proportional to 1,092,965,186 and 1,678,914,219 is: 2,578,996,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,965,186 : 1,678,914,219 = 1,678,914,219 : x
  2. Step 2: Convert to fraction form
    1,092,965,186/1,678,914,219 = 1,678,914,219/x
  3. Step 3: Cross multiply
    1,092,965,186x = 1,678,914,219 × 1,678,914,219
  4. Step 4: Simplify right side
    1,092,965,186x = 2,818,752,954,760,379,904
  5. Step 5: Solve for x
    x = 2,818,752,954,760,379,904/1,092,965,186
  6. Step 6: Final answer
    x = 2,578,996,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.