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Finding the Third Proportional to 436,200 and 939,214

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Solution

The third proportional to 436,200 and 939,214 is: 2,022,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,200 : 939,214 = 939,214 : x
  2. Step 2: Convert to fraction form
    436,200/939,214 = 939,214/x
  3. Step 3: Cross multiply
    436,200x = 939,214 × 939,214
  4. Step 4: Simplify right side
    436,200x = 882,122,937,796
  5. Step 5: Solve for x
    x = 882,122,937,796/436,200
  6. Step 6: Final answer
    x = 2,022,290.09

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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.