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Finding the Third Proportional to 599,610 and 1,284,228

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Solution

The third proportional to 599,610 and 1,284,228 is: 2,750,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,610 : 1,284,228 = 1,284,228 : x
  2. Step 2: Convert to fraction form
    599,610/1,284,228 = 1,284,228/x
  3. Step 3: Cross multiply
    599,610x = 1,284,228 × 1,284,228
  4. Step 4: Simplify right side
    599,610x = 1,649,241,555,984
  5. Step 5: Solve for x
    x = 1,649,241,555,984/599,610
  6. Step 6: Final answer
    x = 2,750,523.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.