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Finding the Third Proportional to 997,072 and 1,546,824

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Solution

The third proportional to 997,072 and 1,546,824 is: 2,399,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,072 : 1,546,824 = 1,546,824 : x
  2. Step 2: Convert to fraction form
    997,072/1,546,824 = 1,546,824/x
  3. Step 3: Cross multiply
    997,072x = 1,546,824 × 1,546,824
  4. Step 4: Simplify right side
    997,072x = 2,392,664,486,976
  5. Step 5: Solve for x
    x = 2,392,664,486,976/997,072
  6. Step 6: Final answer
    x = 2,399,690.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.