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Finding the Third Proportional to 1,843,546.50 and 3,834,245

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Solution

The third proportional to 1,843,546.50 and 3,834,245 is: 7,974,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,546.50 : 3,834,245 = 3,834,245 : x
  2. Step 2: Convert to fraction form
    1,843,546.50/3,834,245 = 3,834,245/x
  3. Step 3: Cross multiply
    1,843,546.50x = 3,834,245 × 3,834,245
  4. Step 4: Simplify right side
    1,843,546.50x = 14,701,434,720,025
  5. Step 5: Solve for x
    x = 14,701,434,720,025/1,843,546.50
  6. Step 6: Final answer
    x = 7,974,539.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.