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Finding the Third Proportional to 840,174 and 1,843,644

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Solution

The third proportional to 840,174 and 1,843,644 is: 4,045,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,174 : 1,843,644 = 1,843,644 : x
  2. Step 2: Convert to fraction form
    840,174/1,843,644 = 1,843,644/x
  3. Step 3: Cross multiply
    840,174x = 1,843,644 × 1,843,644
  4. Step 4: Simplify right side
    840,174x = 3,399,023,198,736
  5. Step 5: Solve for x
    x = 3,399,023,198,736/840,174
  6. Step 6: Final answer
    x = 4,045,618.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.