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Finding the Third Proportional to 622,194 and 989,328

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Solution

The third proportional to 622,194 and 989,328 is: 1,573,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,194 : 989,328 = 989,328 : x
  2. Step 2: Convert to fraction form
    622,194/989,328 = 989,328/x
  3. Step 3: Cross multiply
    622,194x = 989,328 × 989,328
  4. Step 4: Simplify right side
    622,194x = 978,769,891,584
  5. Step 5: Solve for x
    x = 978,769,891,584/622,194
  6. Step 6: Final answer
    x = 1,573,094.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.