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Finding the Third Proportional to 385,622.44 and 835,601.06

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Solution

The third proportional to 385,622.44 and 835,601.06 is: 1,810,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,622.44 : 835,601.06 = 835,601.06 : x
  2. Step 2: Convert to fraction form
    385,622.44/835,601.06 = 835,601.06/x
  3. Step 3: Cross multiply
    385,622.44x = 835,601.06 × 835,601.06
  4. Step 4: Simplify right side
    385,622.44x = 698,229,135,651.13
  5. Step 5: Solve for x
    x = 698,229,135,651.13/385,622.44
  6. Step 6: Final answer
    x = 1,810,654.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.