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Finding the Third Proportional to 674,148 and 1,441,608

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Solution

The third proportional to 674,148 and 1,441,608 is: 3,082,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,148 : 1,441,608 = 1,441,608 : x
  2. Step 2: Convert to fraction form
    674,148/1,441,608 = 1,441,608/x
  3. Step 3: Cross multiply
    674,148x = 1,441,608 × 1,441,608
  4. Step 4: Simplify right side
    674,148x = 2,078,233,625,664
  5. Step 5: Solve for x
    x = 2,078,233,625,664/674,148
  6. Step 6: Final answer
    x = 3,082,755.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.