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Finding the Third Proportional to 320,126,692 and 713,860,884

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Solution

The third proportional to 320,126,692 and 713,860,884 is: 1,591,861,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,126,692 : 713,860,884 = 713,860,884 : x
  2. Step 2: Convert to fraction form
    320,126,692/713,860,884 = 713,860,884/x
  3. Step 3: Cross multiply
    320,126,692x = 713,860,884 × 713,860,884
  4. Step 4: Simplify right side
    320,126,692x = 509,597,361,705,261,440
  5. Step 5: Solve for x
    x = 509,597,361,705,261,440/320,126,692
  6. Step 6: Final answer
    x = 1,591,861,517.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.