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Finding the Third Proportional to 1,267,032 and 2,732,109

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Solution

The third proportional to 1,267,032 and 2,732,109 is: 5,891,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,032 : 2,732,109 = 2,732,109 : x
  2. Step 2: Convert to fraction form
    1,267,032/2,732,109 = 2,732,109/x
  3. Step 3: Cross multiply
    1,267,032x = 2,732,109 × 2,732,109
  4. Step 4: Simplify right side
    1,267,032x = 7,464,419,587,881
  5. Step 5: Solve for x
    x = 7,464,419,587,881/1,267,032
  6. Step 6: Final answer
    x = 5,891,263.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.