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Finding the Third Proportional to 746,843.63 and 1,620,138.38

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Solution

The third proportional to 746,843.63 and 1,620,138.38 is: 3,514,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,843.63 : 1,620,138.38 = 1,620,138.38 : x
  2. Step 2: Convert to fraction form
    746,843.63/1,620,138.38 = 1,620,138.38/x
  3. Step 3: Cross multiply
    746,843.63x = 1,620,138.38 × 1,620,138.38
  4. Step 4: Simplify right side
    746,843.63x = 2,624,848,354,147.64
  5. Step 5: Solve for x
    x = 2,624,848,354,147.64/746,843.63
  6. Step 6: Final answer
    x = 3,514,588.95

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