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Finding the Third Proportional to 1,214,491.22 and 2,597,153.63

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Solution

The third proportional to 1,214,491.22 and 2,597,153.63 is: 5,553,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,491.22 : 2,597,153.63 = 2,597,153.63 : x
  2. Step 2: Convert to fraction form
    1,214,491.22/2,597,153.63 = 2,597,153.63/x
  3. Step 3: Cross multiply
    1,214,491.22x = 2,597,153.63 × 2,597,153.63
  4. Step 4: Simplify right side
    1,214,491.22x = 6,745,206,951,850.64
  5. Step 5: Solve for x
    x = 6,745,206,951,850.64/1,214,491.22
  6. Step 6: Final answer
    x = 5,553,936.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.