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Finding the Third Proportional to 444,906 and 919,242

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Solution

The third proportional to 444,906 and 919,242 is: 1,899,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,906 : 919,242 = 919,242 : x
  2. Step 2: Convert to fraction form
    444,906/919,242 = 919,242/x
  3. Step 3: Cross multiply
    444,906x = 919,242 × 919,242
  4. Step 4: Simplify right side
    444,906x = 845,005,854,564
  5. Step 5: Solve for x
    x = 845,005,854,564/444,906
  6. Step 6: Final answer
    x = 1,899,290.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.