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Finding the Third Proportional to 694,395,939 and 1,057,873,219

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Solution

The third proportional to 694,395,939 and 1,057,873,219 is: 1,611,610,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,939 : 1,057,873,219 = 1,057,873,219 : x
  2. Step 2: Convert to fraction form
    694,395,939/1,057,873,219 = 1,057,873,219/x
  3. Step 3: Cross multiply
    694,395,939x = 1,057,873,219 × 1,057,873,219
  4. Step 4: Simplify right side
    694,395,939x = 1,119,095,747,477,421,952
  5. Step 5: Solve for x
    x = 1,119,095,747,477,421,952/694,395,939
  6. Step 6: Final answer
    x = 1,611,610,443.88

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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.