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Finding the Third Proportional to 1,747,919.25 and 3,813,588

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Solution

The third proportional to 1,747,919.25 and 3,813,588 is: 8,320,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,919.25 : 3,813,588 = 3,813,588 : x
  2. Step 2: Convert to fraction form
    1,747,919.25/3,813,588 = 3,813,588/x
  3. Step 3: Cross multiply
    1,747,919.25x = 3,813,588 × 3,813,588
  4. Step 4: Simplify right side
    1,747,919.25x = 14,543,453,433,744
  5. Step 5: Solve for x
    x = 14,543,453,433,744/1,747,919.25
  6. Step 6: Final answer
    x = 8,320,437.82

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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.