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Finding the Third Proportional to 819,072 and 1,786,608

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Solution

The third proportional to 819,072 and 1,786,608 is: 3,897,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,072 : 1,786,608 = 1,786,608 : x
  2. Step 2: Convert to fraction form
    819,072/1,786,608 = 1,786,608/x
  3. Step 3: Cross multiply
    819,072x = 1,786,608 × 1,786,608
  4. Step 4: Simplify right side
    819,072x = 3,191,968,145,664
  5. Step 5: Solve for x
    x = 3,191,968,145,664/819,072
  6. Step 6: Final answer
    x = 3,897,054.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.