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Finding the Third Proportional to 1,210,238.25 and 2,607,199.88

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Solution

The third proportional to 1,210,238.25 and 2,607,199.88 is: 5,616,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,238.25 : 2,607,199.88 = 2,607,199.88 : x
  2. Step 2: Convert to fraction form
    1,210,238.25/2,607,199.88 = 2,607,199.88/x
  3. Step 3: Cross multiply
    1,210,238.25x = 2,607,199.88 × 2,607,199.88
  4. Step 4: Simplify right side
    1,210,238.25x = 6,797,491,188,200.02
  5. Step 5: Solve for x
    x = 6,797,491,188,200.02/1,210,238.25
  6. Step 6: Final answer
    x = 5,616,655.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.