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Finding the Third Proportional to 481,682 and 1,058,701

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Solution

The third proportional to 481,682 and 1,058,701 is: 2,326,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,682 : 1,058,701 = 1,058,701 : x
  2. Step 2: Convert to fraction form
    481,682/1,058,701 = 1,058,701/x
  3. Step 3: Cross multiply
    481,682x = 1,058,701 × 1,058,701
  4. Step 4: Simplify right side
    481,682x = 1,120,847,807,401
  5. Step 5: Solve for x
    x = 1,120,847,807,401/481,682
  6. Step 6: Final answer
    x = 2,326,945.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.