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Finding the Third Proportional to 463,739.63 and 1,006,791.75

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Solution

The third proportional to 463,739.63 and 1,006,791.75 is: 2,185,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,739.63 : 1,006,791.75 = 1,006,791.75 : x
  2. Step 2: Convert to fraction form
    463,739.63/1,006,791.75 = 1,006,791.75/x
  3. Step 3: Cross multiply
    463,739.63x = 1,006,791.75 × 1,006,791.75
  4. Step 4: Simplify right side
    463,739.63x = 1,013,629,627,868.06
  5. Step 5: Solve for x
    x = 1,013,629,627,868.06/463,739.63
  6. Step 6: Final answer
    x = 2,185,773.16

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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.