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Finding the Third Proportional to 1,757,266.50 and 3,836,748

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Solution

The third proportional to 1,757,266.50 and 3,836,748 is: 8,377,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,266.50 : 3,836,748 = 3,836,748 : x
  2. Step 2: Convert to fraction form
    1,757,266.50/3,836,748 = 3,836,748/x
  3. Step 3: Cross multiply
    1,757,266.50x = 3,836,748 × 3,836,748
  4. Step 4: Simplify right side
    1,757,266.50x = 14,720,635,215,504
  5. Step 5: Solve for x
    x = 14,720,635,215,504/1,757,266.50
  6. Step 6: Final answer
    x = 8,377,007.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.