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Finding the Third Proportional to 422,457.75 and 939,371.63

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Solution

The third proportional to 422,457.75 and 939,371.63 is: 2,088,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,457.75 : 939,371.63 = 939,371.63 : x
  2. Step 2: Convert to fraction form
    422,457.75/939,371.63 = 939,371.63/x
  3. Step 3: Cross multiply
    422,457.75x = 939,371.63 × 939,371.63
  4. Step 4: Simplify right side
    422,457.75x = 882,419,049,855.14
  5. Step 5: Solve for x
    x = 882,419,049,855.14/422,457.75
  6. Step 6: Final answer
    x = 2,088,774.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.