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Finding the Third Proportional to 1,197,171 and 1,808,184

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Solution

The third proportional to 1,197,171 and 1,808,184 is: 2,731,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,171 : 1,808,184 = 1,808,184 : x
  2. Step 2: Convert to fraction form
    1,197,171/1,808,184 = 1,808,184/x
  3. Step 3: Cross multiply
    1,197,171x = 1,808,184 × 1,808,184
  4. Step 4: Simplify right side
    1,197,171x = 3,269,529,377,856
  5. Step 5: Solve for x
    x = 3,269,529,377,856/1,197,171
  6. Step 6: Final answer
    x = 2,731,046.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.