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Finding the Third Proportional to 694,395,922 and 1,057,873,193

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Solution

The third proportional to 694,395,922 and 1,057,873,193 is: 1,611,610,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,922 : 1,057,873,193 = 1,057,873,193 : x
  2. Step 2: Convert to fraction form
    694,395,922/1,057,873,193 = 1,057,873,193/x
  3. Step 3: Cross multiply
    694,395,922x = 1,057,873,193 × 1,057,873,193
  4. Step 4: Simplify right side
    694,395,922x = 1,119,095,692,468,015,232
  5. Step 5: Solve for x
    x = 1,119,095,692,468,015,232/694,395,922
  6. Step 6: Final answer
    x = 1,611,610,404.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.