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Finding the Third Proportional to 658,161 and 1,424,268

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Solution

The third proportional to 658,161 and 1,424,268 is: 3,082,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,161 : 1,424,268 = 1,424,268 : x
  2. Step 2: Convert to fraction form
    658,161/1,424,268 = 1,424,268/x
  3. Step 3: Cross multiply
    658,161x = 1,424,268 × 1,424,268
  4. Step 4: Simplify right side
    658,161x = 2,028,539,335,824
  5. Step 5: Solve for x
    x = 2,028,539,335,824/658,161
  6. Step 6: Final answer
    x = 3,082,132.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.