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Finding the Third Proportional to 433,806 and 940,012

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Solution

The third proportional to 433,806 and 940,012 is: 2,036,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,806 : 940,012 = 940,012 : x
  2. Step 2: Convert to fraction form
    433,806/940,012 = 940,012/x
  3. Step 3: Cross multiply
    433,806x = 940,012 × 940,012
  4. Step 4: Simplify right side
    433,806x = 883,622,560,144
  5. Step 5: Solve for x
    x = 883,622,560,144/433,806
  6. Step 6: Final answer
    x = 2,036,907.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.