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Finding the Third Proportional to 2,072,419 and 3,197,192

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Solution

The third proportional to 2,072,419 and 3,197,192 is: 4,932,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,419 : 3,197,192 = 3,197,192 : x
  2. Step 2: Convert to fraction form
    2,072,419/3,197,192 = 3,197,192/x
  3. Step 3: Cross multiply
    2,072,419x = 3,197,192 × 3,197,192
  4. Step 4: Simplify right side
    2,072,419x = 10,222,036,684,864
  5. Step 5: Solve for x
    x = 10,222,036,684,864/2,072,419
  6. Step 6: Final answer
    x = 4,932,417.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.