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Finding the Third Proportional to 1,212,714.56 and 2,640,578.63

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Solution

The third proportional to 1,212,714.56 and 2,640,578.63 is: 5,749,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,714.56 : 2,640,578.63 = 2,640,578.63 : x
  2. Step 2: Convert to fraction form
    1,212,714.56/2,640,578.63 = 2,640,578.63/x
  3. Step 3: Cross multiply
    1,212,714.56x = 2,640,578.63 × 2,640,578.63
  4. Step 4: Simplify right side
    1,212,714.56x = 6,972,655,474,806.89
  5. Step 5: Solve for x
    x = 6,972,655,474,806.89/1,212,714.56
  6. Step 6: Final answer
    x = 5,749,626.24

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Why These Related Problems?

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