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Finding the Third Proportional to 1,203,739,960 and 1,695,131,122

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Solution

The third proportional to 1,203,739,960 and 1,695,131,122 is: 2,387,118,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,739,960 : 1,695,131,122 = 1,695,131,122 : x
  2. Step 2: Convert to fraction form
    1,203,739,960/1,695,131,122 = 1,695,131,122/x
  3. Step 3: Cross multiply
    1,203,739,960x = 1,695,131,122 × 1,695,131,122
  4. Step 4: Simplify right side
    1,203,739,960x = 2,873,469,520,772,978,688
  5. Step 5: Solve for x
    x = 2,873,469,520,772,978,688/1,203,739,960
  6. Step 6: Final answer
    x = 2,387,118,161.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.