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Finding the Third Proportional to 1,198,512 and 1,614,771

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Solution

The third proportional to 1,198,512 and 1,614,771 is: 2,175,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,512 : 1,614,771 = 1,614,771 : x
  2. Step 2: Convert to fraction form
    1,198,512/1,614,771 = 1,614,771/x
  3. Step 3: Cross multiply
    1,198,512x = 1,614,771 × 1,614,771
  4. Step 4: Simplify right side
    1,198,512x = 2,607,485,382,441
  5. Step 5: Solve for x
    x = 2,607,485,382,441/1,198,512
  6. Step 6: Final answer
    x = 2,175,602.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.