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Finding the Third Proportional to 1,212,606.07 and 2,661,408.14

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Solution

The third proportional to 1,212,606.07 and 2,661,408.14 is: 5,841,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,606.07 : 2,661,408.14 = 2,661,408.14 : x
  2. Step 2: Convert to fraction form
    1,212,606.07/2,661,408.14 = 2,661,408.14/x
  3. Step 3: Cross multiply
    1,212,606.07x = 2,661,408.14 × 2,661,408.14
  4. Step 4: Simplify right side
    1,212,606.07x = 7,083,093,290,985.02
  5. Step 5: Solve for x
    x = 7,083,093,290,985.02/1,212,606.07
  6. Step 6: Final answer
    x = 5,841,215.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.