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Finding the Third Proportional to 599,633 and 979,042.75

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Solution

The third proportional to 599,633 and 979,042.75 is: 1,598,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,633 : 979,042.75 = 979,042.75 : x
  2. Step 2: Convert to fraction form
    599,633/979,042.75 = 979,042.75/x
  3. Step 3: Cross multiply
    599,633x = 979,042.75 × 979,042.75
  4. Step 4: Simplify right side
    599,633x = 958,524,706,327.56
  5. Step 5: Solve for x
    x = 958,524,706,327.56/599,633
  6. Step 6: Final answer
    x = 1,598,518.94

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.