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Finding the Third Proportional to 436,458 and 939,318

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Solution

The third proportional to 436,458 and 939,318 is: 2,021,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,458 : 939,318 = 939,318 : x
  2. Step 2: Convert to fraction form
    436,458/939,318 = 939,318/x
  3. Step 3: Cross multiply
    436,458x = 939,318 × 939,318
  4. Step 4: Simplify right side
    436,458x = 882,318,305,124
  5. Step 5: Solve for x
    x = 882,318,305,124/436,458
  6. Step 6: Final answer
    x = 2,021,542.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.