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Finding the Third Proportional to 1,212,725 and 2,640,599

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Solution

The third proportional to 1,212,725 and 2,640,599 is: 5,749,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,725 : 2,640,599 = 2,640,599 : x
  2. Step 2: Convert to fraction form
    1,212,725/2,640,599 = 2,640,599/x
  3. Step 3: Cross multiply
    1,212,725x = 2,640,599 × 2,640,599
  4. Step 4: Simplify right side
    1,212,725x = 6,972,763,078,801
  5. Step 5: Solve for x
    x = 6,972,763,078,801/1,212,725
  6. Step 6: Final answer
    x = 5,749,665.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.