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Finding the Third Proportional to 597,969 and 1,268,838

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Solution

The third proportional to 597,969 and 1,268,838 is: 2,692,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,969 : 1,268,838 = 1,268,838 : x
  2. Step 2: Convert to fraction form
    597,969/1,268,838 = 1,268,838/x
  3. Step 3: Cross multiply
    597,969x = 1,268,838 × 1,268,838
  4. Step 4: Simplify right side
    597,969x = 1,609,949,870,244
  5. Step 5: Solve for x
    x = 1,609,949,870,244/597,969
  6. Step 6: Final answer
    x = 2,692,363.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.