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Finding the Third Proportional to 2,676,344.25 and 3,815,226

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Solution

The third proportional to 2,676,344.25 and 3,815,226 is: 5,438,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676,344.25 : 3,815,226 = 3,815,226 : x
  2. Step 2: Convert to fraction form
    2,676,344.25/3,815,226 = 3,815,226/x
  3. Step 3: Cross multiply
    2,676,344.25x = 3,815,226 × 3,815,226
  4. Step 4: Simplify right side
    2,676,344.25x = 14,555,949,431,076
  5. Step 5: Solve for x
    x = 14,555,949,431,076/2,676,344.25
  6. Step 6: Final answer
    x = 5,438,743.33

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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.