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Finding the Third Proportional to 671,683 and 1,419,173

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Solution

The third proportional to 671,683 and 1,419,173 is: 2,998,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,683 : 1,419,173 = 1,419,173 : x
  2. Step 2: Convert to fraction form
    671,683/1,419,173 = 1,419,173/x
  3. Step 3: Cross multiply
    671,683x = 1,419,173 × 1,419,173
  4. Step 4: Simplify right side
    671,683x = 2,014,052,003,929
  5. Step 5: Solve for x
    x = 2,014,052,003,929/671,683
  6. Step 6: Final answer
    x = 2,998,515.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.