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Finding the Third Proportional to 439,738 and 941,732

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Solution

The third proportional to 439,738 and 941,732 is: 2,016,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,738 : 941,732 = 941,732 : x
  2. Step 2: Convert to fraction form
    439,738/941,732 = 941,732/x
  3. Step 3: Cross multiply
    439,738x = 941,732 × 941,732
  4. Step 4: Simplify right side
    439,738x = 886,859,159,824
  5. Step 5: Solve for x
    x = 886,859,159,824/439,738
  6. Step 6: Final answer
    x = 2,016,789.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.