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Finding the Third Proportional to 694,395,965 and 1,057,873,259

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Solution

The third proportional to 694,395,965 and 1,057,873,259 is: 1,611,610,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,965 : 1,057,873,259 = 1,057,873,259 : x
  2. Step 2: Convert to fraction form
    694,395,965/1,057,873,259 = 1,057,873,259/x
  3. Step 3: Cross multiply
    694,395,965x = 1,057,873,259 × 1,057,873,259
  4. Step 4: Simplify right side
    694,395,965x = 1,119,095,832,107,281,024
  5. Step 5: Solve for x
    x = 1,119,095,832,107,281,024/694,395,965
  6. Step 6: Final answer
    x = 1,611,610,505.41

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