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Finding the Third Proportional to 997,065 and 1,546,809

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Solution

The third proportional to 997,065 and 1,546,809 is: 2,399,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,065 : 1,546,809 = 1,546,809 : x
  2. Step 2: Convert to fraction form
    997,065/1,546,809 = 1,546,809/x
  3. Step 3: Cross multiply
    997,065x = 1,546,809 × 1,546,809
  4. Step 4: Simplify right side
    997,065x = 2,392,618,082,481
  5. Step 5: Solve for x
    x = 2,392,618,082,481/997,065
  6. Step 6: Final answer
    x = 2,399,661.09

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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.