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Finding the Third Proportional to 1,427,398 and 2,973,218

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Solution

The third proportional to 1,427,398 and 2,973,218 is: 6,193,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,398 : 2,973,218 = 2,973,218 : x
  2. Step 2: Convert to fraction form
    1,427,398/2,973,218 = 2,973,218/x
  3. Step 3: Cross multiply
    1,427,398x = 2,973,218 × 2,973,218
  4. Step 4: Simplify right side
    1,427,398x = 8,840,025,275,524
  5. Step 5: Solve for x
    x = 8,840,025,275,524/1,427,398
  6. Step 6: Final answer
    x = 6,193,104.71

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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.