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Finding the Third Proportional to 422,495 and 939,446

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Solution

The third proportional to 422,495 and 939,446 is: 2,088,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,495 : 939,446 = 939,446 : x
  2. Step 2: Convert to fraction form
    422,495/939,446 = 939,446/x
  3. Step 3: Cross multiply
    422,495x = 939,446 × 939,446
  4. Step 4: Simplify right side
    422,495x = 882,558,786,916
  5. Step 5: Solve for x
    x = 882,558,786,916/422,495
  6. Step 6: Final answer
    x = 2,088,921.26

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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.