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Finding the Third Proportional to 433,808 and 940,015

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Solution

The third proportional to 433,808 and 940,015 is: 2,036,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,808 : 940,015 = 940,015 : x
  2. Step 2: Convert to fraction form
    433,808/940,015 = 940,015/x
  3. Step 3: Cross multiply
    433,808x = 940,015 × 940,015
  4. Step 4: Simplify right side
    433,808x = 883,628,200,225
  5. Step 5: Solve for x
    x = 883,628,200,225/433,808
  6. Step 6: Final answer
    x = 2,036,910.80

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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.