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Finding the Third Proportional to 446,842 and 973,976

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Solution

The third proportional to 446,842 and 973,976 is: 2,122,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,842 : 973,976 = 973,976 : x
  2. Step 2: Convert to fraction form
    446,842/973,976 = 973,976/x
  3. Step 3: Cross multiply
    446,842x = 973,976 × 973,976
  4. Step 4: Simplify right side
    446,842x = 948,629,248,576
  5. Step 5: Solve for x
    x = 948,629,248,576/446,842
  6. Step 6: Final answer
    x = 2,122,963.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.