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Finding the Third Proportional to 694,395,924 and 1,057,873,196

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Solution

The third proportional to 694,395,924 and 1,057,873,196 is: 1,611,610,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,395,924 : 1,057,873,196 = 1,057,873,196 : x
  2. Step 2: Convert to fraction form
    694,395,924/1,057,873,196 = 1,057,873,196/x
  3. Step 3: Cross multiply
    694,395,924x = 1,057,873,196 × 1,057,873,196
  4. Step 4: Simplify right side
    694,395,924x = 1,119,095,698,815,254,400
  5. Step 5: Solve for x
    x = 1,119,095,698,815,254,400/694,395,924
  6. Step 6: Final answer
    x = 1,611,610,408.61

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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.