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Finding the Third Proportional to 422,489.25 and 939,434.63

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Solution

The third proportional to 422,489.25 and 939,434.63 is: 2,088,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,489.25 : 939,434.63 = 939,434.63 : x
  2. Step 2: Convert to fraction form
    422,489.25/939,434.63 = 939,434.63/x
  3. Step 3: Cross multiply
    422,489.25x = 939,434.63 × 939,434.63
  4. Step 4: Simplify right side
    422,489.25x = 882,537,414,648.89
  5. Step 5: Solve for x
    x = 882,537,414,648.89/422,489.25
  6. Step 6: Final answer
    x = 2,088,899.10

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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.