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Finding the Third Proportional to 928,784 and 1,417,198

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Solution

The third proportional to 928,784 and 1,417,198 is: 2,162,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,784 : 1,417,198 = 1,417,198 : x
  2. Step 2: Convert to fraction form
    928,784/1,417,198 = 1,417,198/x
  3. Step 3: Cross multiply
    928,784x = 1,417,198 × 1,417,198
  4. Step 4: Simplify right side
    928,784x = 2,008,450,171,204
  5. Step 5: Solve for x
    x = 2,008,450,171,204/928,784
  6. Step 6: Final answer
    x = 2,162,451.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.