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Finding the Third Proportional to 694,395,908 and 1,057,873,172

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Solution

The third proportional to 694,395,908 and 1,057,873,172 is: 1,611,610,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,908 : 1,057,873,172 = 1,057,873,172 : x
  2. Step 2: Convert to fraction form
    694,395,908/1,057,873,172 = 1,057,873,172/x
  3. Step 3: Cross multiply
    694,395,908x = 1,057,873,172 × 1,057,873,172
  4. Step 4: Simplify right side
    694,395,908x = 1,119,095,648,037,341,568
  5. Step 5: Solve for x
    x = 1,119,095,648,037,341,568/694,395,908
  6. Step 6: Final answer
    x = 1,611,610,372.62

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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.