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Finding the Third Proportional to 422,913 and 986,832

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Solution

The third proportional to 422,913 and 986,832 is: 2,302,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,913 : 986,832 = 986,832 : x
  2. Step 2: Convert to fraction form
    422,913/986,832 = 986,832/x
  3. Step 3: Cross multiply
    422,913x = 986,832 × 986,832
  4. Step 4: Simplify right side
    422,913x = 973,837,396,224
  5. Step 5: Solve for x
    x = 973,837,396,224/422,913
  6. Step 6: Final answer
    x = 2,302,689.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.