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Finding the Third Proportional to 422,868 and 922,078.50

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Solution

The third proportional to 422,868 and 922,078.50 is: 2,010,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,868 : 922,078.50 = 922,078.50 : x
  2. Step 2: Convert to fraction form
    422,868/922,078.50 = 922,078.50/x
  3. Step 3: Cross multiply
    422,868x = 922,078.50 × 922,078.50
  4. Step 4: Simplify right side
    422,868x = 850,228,760,162.25
  5. Step 5: Solve for x
    x = 850,228,760,162.25/422,868
  6. Step 6: Final answer
    x = 2,010,624.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.