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Finding the Third Proportional to 490,110 and 1,061,644

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Solution

The third proportional to 490,110 and 1,061,644 is: 2,299,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,110 : 1,061,644 = 1,061,644 : x
  2. Step 2: Convert to fraction form
    490,110/1,061,644 = 1,061,644/x
  3. Step 3: Cross multiply
    490,110x = 1,061,644 × 1,061,644
  4. Step 4: Simplify right side
    490,110x = 1,127,087,982,736
  5. Step 5: Solve for x
    x = 1,127,087,982,736/490,110
  6. Step 6: Final answer
    x = 2,299,663.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.