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Finding the Third Proportional to 433,942 and 889,025

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Solution

The third proportional to 433,942 and 889,025 is: 1,821,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,942 : 889,025 = 889,025 : x
  2. Step 2: Convert to fraction form
    433,942/889,025 = 889,025/x
  3. Step 3: Cross multiply
    433,942x = 889,025 × 889,025
  4. Step 4: Simplify right side
    433,942x = 790,365,450,625
  5. Step 5: Solve for x
    x = 790,365,450,625/433,942
  6. Step 6: Final answer
    x = 1,821,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.