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Finding the Third Proportional to 819,471 and 1,788,378

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Solution

The third proportional to 819,471 and 1,788,378 is: 3,902,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,471 : 1,788,378 = 1,788,378 : x
  2. Step 2: Convert to fraction form
    819,471/1,788,378 = 1,788,378/x
  3. Step 3: Cross multiply
    819,471x = 1,788,378 × 1,788,378
  4. Step 4: Simplify right side
    819,471x = 3,198,295,870,884
  5. Step 5: Solve for x
    x = 3,198,295,870,884/819,471
  6. Step 6: Final answer
    x = 3,902,878.65

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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.