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Finding the Third Proportional to 597,823 and 1,268,546

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Solution

The third proportional to 597,823 and 1,268,546 is: 2,691,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,823 : 1,268,546 = 1,268,546 : x
  2. Step 2: Convert to fraction form
    597,823/1,268,546 = 1,268,546/x
  3. Step 3: Cross multiply
    597,823x = 1,268,546 × 1,268,546
  4. Step 4: Simplify right side
    597,823x = 1,609,208,954,116
  5. Step 5: Solve for x
    x = 1,609,208,954,116/597,823
  6. Step 6: Final answer
    x = 2,691,781.60

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Why These Related Problems?

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