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Finding the Third Proportional to 422,109 and 924,265

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Solution

The third proportional to 422,109 and 924,265 is: 2,023,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,109 : 924,265 = 924,265 : x
  2. Step 2: Convert to fraction form
    422,109/924,265 = 924,265/x
  3. Step 3: Cross multiply
    422,109x = 924,265 × 924,265
  4. Step 4: Simplify right side
    422,109x = 854,265,790,225
  5. Step 5: Solve for x
    x = 854,265,790,225/422,109
  6. Step 6: Final answer
    x = 2,023,803.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.