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Finding the Third Proportional to 490,114 and 1,061,651

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Solution

The third proportional to 490,114 and 1,061,651 is: 2,299,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,114 : 1,061,651 = 1,061,651 : x
  2. Step 2: Convert to fraction form
    490,114/1,061,651 = 1,061,651/x
  3. Step 3: Cross multiply
    490,114x = 1,061,651 × 1,061,651
  4. Step 4: Simplify right side
    490,114x = 1,127,102,845,801
  5. Step 5: Solve for x
    x = 1,127,102,845,801/490,114
  6. Step 6: Final answer
    x = 2,299,674.86

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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.