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Finding the Third Proportional to 422,475.75 and 939,404.25

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Solution

The third proportional to 422,475.75 and 939,404.25 is: 2,088,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,475.75 : 939,404.25 = 939,404.25 : x
  2. Step 2: Convert to fraction form
    422,475.75/939,404.25 = 939,404.25/x
  3. Step 3: Cross multiply
    422,475.75x = 939,404.25 × 939,404.25
  4. Step 4: Simplify right side
    422,475.75x = 882,480,344,918.06
  5. Step 5: Solve for x
    x = 882,480,344,918.06/422,475.75
  6. Step 6: Final answer
    x = 2,088,830.77

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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.