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Finding the Third Proportional to 694,395,770 and 1,057,873,041

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Solution

The third proportional to 694,395,770 and 1,057,873,041 is: 1,611,610,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,770 : 1,057,873,041 = 1,057,873,041 : x
  2. Step 2: Convert to fraction form
    694,395,770/1,057,873,041 = 1,057,873,041/x
  3. Step 3: Cross multiply
    694,395,770x = 1,057,873,041 × 1,057,873,041
  4. Step 4: Simplify right side
    694,395,770x = 1,119,095,370,874,587,648
  5. Step 5: Solve for x
    x = 1,119,095,370,874,587,648/694,395,770
  6. Step 6: Final answer
    x = 1,611,610,293.76

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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.