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Finding the Third Proportional to 490,682 and 1,058,698

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Solution

The third proportional to 490,682 and 1,058,698 is: 2,284,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,682 : 1,058,698 = 1,058,698 : x
  2. Step 2: Convert to fraction form
    490,682/1,058,698 = 1,058,698/x
  3. Step 3: Cross multiply
    490,682x = 1,058,698 × 1,058,698
  4. Step 4: Simplify right side
    490,682x = 1,120,841,455,204
  5. Step 5: Solve for x
    x = 1,120,841,455,204/490,682
  6. Step 6: Final answer
    x = 2,284,252.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.