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Finding the Third Proportional to 681,267 and 1,433,109

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Solution

The third proportional to 681,267 and 1,433,109 is: 3,014,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,267 : 1,433,109 = 1,433,109 : x
  2. Step 2: Convert to fraction form
    681,267/1,433,109 = 1,433,109/x
  3. Step 3: Cross multiply
    681,267x = 1,433,109 × 1,433,109
  4. Step 4: Simplify right side
    681,267x = 2,053,801,405,881
  5. Step 5: Solve for x
    x = 2,053,801,405,881/681,267
  6. Step 6: Final answer
    x = 3,014,679.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.