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Finding the Third Proportional to 599,368 and 843,112

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Solution

The third proportional to 599,368 and 843,112 is: 1,185,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,368 : 843,112 = 843,112 : x
  2. Step 2: Convert to fraction form
    599,368/843,112 = 843,112/x
  3. Step 3: Cross multiply
    599,368x = 843,112 × 843,112
  4. Step 4: Simplify right side
    599,368x = 710,837,844,544
  5. Step 5: Solve for x
    x = 710,837,844,544/599,368
  6. Step 6: Final answer
    x = 1,185,978.97

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.