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Finding the Third Proportional to 622,317 and 939,199

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Solution

The third proportional to 622,317 and 939,199 is: 1,417,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,317 : 939,199 = 939,199 : x
  2. Step 2: Convert to fraction form
    622,317/939,199 = 939,199/x
  3. Step 3: Cross multiply
    622,317x = 939,199 × 939,199
  4. Step 4: Simplify right side
    622,317x = 882,094,761,601
  5. Step 5: Solve for x
    x = 882,094,761,601/622,317
  6. Step 6: Final answer
    x = 1,417,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.