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Finding the Third Proportional to 260,765,189 and 552,619,677

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Solution

The third proportional to 260,765,189 and 552,619,677 is: 1,171,124,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,765,189 : 552,619,677 = 552,619,677 : x
  2. Step 2: Convert to fraction form
    260,765,189/552,619,677 = 552,619,677/x
  3. Step 3: Cross multiply
    260,765,189x = 552,619,677 × 552,619,677
  4. Step 4: Simplify right side
    260,765,189x = 305,388,507,407,584,320
  5. Step 5: Solve for x
    x = 305,388,507,407,584,320/260,765,189
  6. Step 6: Final answer
    x = 1,171,124,522.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.