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Finding the Third Proportional to 976,932 and 2,058,824

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Solution

The third proportional to 976,932 and 2,058,824 is: 4,338,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,932 : 2,058,824 = 2,058,824 : x
  2. Step 2: Convert to fraction form
    976,932/2,058,824 = 2,058,824/x
  3. Step 3: Cross multiply
    976,932x = 2,058,824 × 2,058,824
  4. Step 4: Simplify right side
    976,932x = 4,238,756,262,976
  5. Step 5: Solve for x
    x = 4,238,756,262,976/976,932
  6. Step 6: Final answer
    x = 4,338,844.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.