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Finding the Third Proportional to 671,824 and 939,256

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Solution

The third proportional to 671,824 and 939,256 is: 1,313,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,824 : 939,256 = 939,256 : x
  2. Step 2: Convert to fraction form
    671,824/939,256 = 939,256/x
  3. Step 3: Cross multiply
    671,824x = 939,256 × 939,256
  4. Step 4: Simplify right side
    671,824x = 882,201,833,536
  5. Step 5: Solve for x
    x = 882,201,833,536/671,824
  6. Step 6: Final answer
    x = 1,313,144.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.