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Finding the Third Proportional to 3,204,276.94 and 4,578,837.75

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Solution

The third proportional to 3,204,276.94 and 4,578,837.75 is: 6,543,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,276.94 : 4,578,837.75 = 4,578,837.75 : x
  2. Step 2: Convert to fraction form
    3,204,276.94/4,578,837.75 = 4,578,837.75/x
  3. Step 3: Cross multiply
    3,204,276.94x = 4,578,837.75 × 4,578,837.75
  4. Step 4: Simplify right side
    3,204,276.94x = 20,965,755,140,825.06
  5. Step 5: Solve for x
    x = 20,965,755,140,825.06/3,204,276.94
  6. Step 6: Final answer
    x = 6,543,053.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.