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Finding the Third Proportional to 1,205,008 and 1,741,171

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Solution

The third proportional to 1,205,008 and 1,741,171 is: 2,515,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,008 : 1,741,171 = 1,741,171 : x
  2. Step 2: Convert to fraction form
    1,205,008/1,741,171 = 1,741,171/x
  3. Step 3: Cross multiply
    1,205,008x = 1,741,171 × 1,741,171
  4. Step 4: Simplify right side
    1,205,008x = 3,031,676,451,241
  5. Step 5: Solve for x
    x = 3,031,676,451,241/1,205,008
  6. Step 6: Final answer
    x = 2,515,897.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.