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Finding the Third Proportional to 1,196,214 and 1,777,041

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Solution

The third proportional to 1,196,214 and 1,777,041 is: 2,639,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,214 : 1,777,041 = 1,777,041 : x
  2. Step 2: Convert to fraction form
    1,196,214/1,777,041 = 1,777,041/x
  3. Step 3: Cross multiply
    1,196,214x = 1,777,041 × 1,777,041
  4. Step 4: Simplify right side
    1,196,214x = 3,157,874,715,681
  5. Step 5: Solve for x
    x = 3,157,874,715,681/1,196,214
  6. Step 6: Final answer
    x = 2,639,891.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.