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Finding the Third Proportional to 823,835 and 1,197,957

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Solution

The third proportional to 823,835 and 1,197,957 is: 1,741,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,835 : 1,197,957 = 1,197,957 : x
  2. Step 2: Convert to fraction form
    823,835/1,197,957 = 1,197,957/x
  3. Step 3: Cross multiply
    823,835x = 1,197,957 × 1,197,957
  4. Step 4: Simplify right side
    823,835x = 1,435,100,973,849
  5. Step 5: Solve for x
    x = 1,435,100,973,849/823,835
  6. Step 6: Final answer
    x = 1,741,976.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.