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Finding the Third Proportional to 436,991 and 953,425

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Solution

The third proportional to 436,991 and 953,425 is: 2,080,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,991 : 953,425 = 953,425 : x
  2. Step 2: Convert to fraction form
    436,991/953,425 = 953,425/x
  3. Step 3: Cross multiply
    436,991x = 953,425 × 953,425
  4. Step 4: Simplify right side
    436,991x = 909,019,230,625
  5. Step 5: Solve for x
    x = 909,019,230,625/436,991
  6. Step 6: Final answer
    x = 2,080,178.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.