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Finding the Third Proportional to 1,823,511.38 and 3,968,106.75

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Solution

The third proportional to 1,823,511.38 and 3,968,106.75 is: 8,634,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,511.38 : 3,968,106.75 = 3,968,106.75 : x
  2. Step 2: Convert to fraction form
    1,823,511.38/3,968,106.75 = 3,968,106.75/x
  3. Step 3: Cross multiply
    1,823,511.38x = 3,968,106.75 × 3,968,106.75
  4. Step 4: Simplify right side
    1,823,511.38x = 15,745,871,179,395.56
  5. Step 5: Solve for x
    x = 15,745,871,179,395.56/1,823,511.38
  6. Step 6: Final answer
    x = 8,634,917.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.