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Finding the Third Proportional to 819,348 and 1,704,096

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Solution

The third proportional to 819,348 and 1,704,096 is: 3,544,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,348 : 1,704,096 = 1,704,096 : x
  2. Step 2: Convert to fraction form
    819,348/1,704,096 = 1,704,096/x
  3. Step 3: Cross multiply
    819,348x = 1,704,096 × 1,704,096
  4. Step 4: Simplify right side
    819,348x = 2,903,943,177,216
  5. Step 5: Solve for x
    x = 2,903,943,177,216/819,348
  6. Step 6: Final answer
    x = 3,544,212.20

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.