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Finding the Third Proportional to 682,299,027 and 997,860,573

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Solution

The third proportional to 682,299,027 and 997,860,573 is: 1,459,368,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,299,027 : 997,860,573 = 997,860,573 : x
  2. Step 2: Convert to fraction form
    682,299,027/997,860,573 = 997,860,573/x
  3. Step 3: Cross multiply
    682,299,027x = 997,860,573 × 997,860,573
  4. Step 4: Simplify right side
    682,299,027x = 995,725,723,147,888,384
  5. Step 5: Solve for x
    x = 995,725,723,147,888,384/682,299,027
  6. Step 6: Final answer
    x = 1,459,368,522.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.