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Finding the Third Proportional to 436,928 and 941,024

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Solution

The third proportional to 436,928 and 941,024 is: 2,026,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,928 : 941,024 = 941,024 : x
  2. Step 2: Convert to fraction form
    436,928/941,024 = 941,024/x
  3. Step 3: Cross multiply
    436,928x = 941,024 × 941,024
  4. Step 4: Simplify right side
    436,928x = 885,526,168,576
  5. Step 5: Solve for x
    x = 885,526,168,576/436,928
  6. Step 6: Final answer
    x = 2,026,709.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.