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Finding the Third Proportional to 422,865 and 922,071.38

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Solution

The third proportional to 422,865 and 922,071.38 is: 2,010,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,865 : 922,071.38 = 922,071.38 : x
  2. Step 2: Convert to fraction form
    422,865/922,071.38 = 922,071.38/x
  3. Step 3: Cross multiply
    422,865x = 922,071.38 × 922,071.38
  4. Step 4: Simplify right side
    422,865x = 850,215,620,594.39
  5. Step 5: Solve for x
    x = 850,215,620,594.39/422,865
  6. Step 6: Final answer
    x = 2,010,607.69

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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.