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Finding the Third Proportional to 1,197,928 and 1,809,367

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Solution

The third proportional to 1,197,928 and 1,809,367 is: 2,732,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,928 : 1,809,367 = 1,809,367 : x
  2. Step 2: Convert to fraction form
    1,197,928/1,809,367 = 1,809,367/x
  3. Step 3: Cross multiply
    1,197,928x = 1,809,367 × 1,809,367
  4. Step 4: Simplify right side
    1,197,928x = 3,273,808,940,689
  5. Step 5: Solve for x
    x = 3,273,808,940,689/1,197,928
  6. Step 6: Final answer
    x = 2,732,892.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.