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Finding the Third Proportional to 433,899 and 942,435

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Solution

The third proportional to 433,899 and 942,435 is: 2,046,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,899 : 942,435 = 942,435 : x
  2. Step 2: Convert to fraction form
    433,899/942,435 = 942,435/x
  3. Step 3: Cross multiply
    433,899x = 942,435 × 942,435
  4. Step 4: Simplify right side
    433,899x = 888,183,729,225
  5. Step 5: Solve for x
    x = 888,183,729,225/433,899
  6. Step 6: Final answer
    x = 2,046,982.66

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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.