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Finding the Third Proportional to 682,299,029 and 997,860,576

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Solution

The third proportional to 682,299,029 and 997,860,576 is: 1,459,368,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,299,029 : 997,860,576 = 997,860,576 : x
  2. Step 2: Convert to fraction form
    682,299,029/997,860,576 = 997,860,576/x
  3. Step 3: Cross multiply
    682,299,029x = 997,860,576 × 997,860,576
  4. Step 4: Simplify right side
    682,299,029x = 995,725,729,135,051,776
  5. Step 5: Solve for x
    x = 995,725,729,135,051,776/682,299,029
  6. Step 6: Final answer
    x = 1,459,368,527.31

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