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Finding the Third Proportional to 1,834,895.25 and 3,837,096

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Solution

The third proportional to 1,834,895.25 and 3,837,096 is: 8,024,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,895.25 : 3,837,096 = 3,837,096 : x
  2. Step 2: Convert to fraction form
    1,834,895.25/3,837,096 = 3,837,096/x
  3. Step 3: Cross multiply
    1,834,895.25x = 3,837,096 × 3,837,096
  4. Step 4: Simplify right side
    1,834,895.25x = 14,723,305,713,216
  5. Step 5: Solve for x
    x = 14,723,305,713,216/1,834,895.25
  6. Step 6: Final answer
    x = 8,024,057.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.