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Finding the Third Proportional to 320,126,697 and 713,860,894

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Solution

The third proportional to 320,126,697 and 713,860,894 is: 1,591,861,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,126,697 : 713,860,894 = 713,860,894 : x
  2. Step 2: Convert to fraction form
    320,126,697/713,860,894 = 713,860,894/x
  3. Step 3: Cross multiply
    320,126,697x = 713,860,894 × 713,860,894
  4. Step 4: Simplify right side
    320,126,697x = 509,597,375,982,479,232
  5. Step 5: Solve for x
    x = 509,597,375,982,479,232/320,126,697
  6. Step 6: Final answer
    x = 1,591,861,537.19

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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.