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Finding the Third Proportional to 539,104,686 and 770,393,097

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Solution

The third proportional to 539,104,686 and 770,393,097 is: 1,100,909,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,104,686 : 770,393,097 = 770,393,097 : x
  2. Step 2: Convert to fraction form
    539,104,686/770,393,097 = 770,393,097/x
  3. Step 3: Cross multiply
    539,104,686x = 770,393,097 × 770,393,097
  4. Step 4: Simplify right side
    539,104,686x = 593,505,523,905,251,456
  5. Step 5: Solve for x
    x = 593,505,523,905,251,456/539,104,686
  6. Step 6: Final answer
    x = 1,100,909,599.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.