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Finding the Third Proportional to 681,625.13 and 1,476,093.38

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Solution

The third proportional to 681,625.13 and 1,476,093.38 is: 3,196,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,625.13 : 1,476,093.38 = 1,476,093.38 : x
  2. Step 2: Convert to fraction form
    681,625.13/1,476,093.38 = 1,476,093.38/x
  3. Step 3: Cross multiply
    681,625.13x = 1,476,093.38 × 1,476,093.38
  4. Step 4: Simplify right side
    681,625.13x = 2,178,851,651,718.89
  5. Step 5: Solve for x
    x = 2,178,851,651,718.89/681,625.13
  6. Step 6: Final answer
    x = 3,196,554.19

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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.