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Finding the Third Proportional to 422,010,546 and 899,762,916

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Solution

The third proportional to 422,010,546 and 899,762,916 is: 1,918,372,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010,546 : 899,762,916 = 899,762,916 : x
  2. Step 2: Convert to fraction form
    422,010,546/899,762,916 = 899,762,916/x
  3. Step 3: Cross multiply
    422,010,546x = 899,762,916 × 899,762,916
  4. Step 4: Simplify right side
    422,010,546x = 809,573,305,008,823,040
  5. Step 5: Solve for x
    x = 809,573,305,008,823,040/422,010,546
  6. Step 6: Final answer
    x = 1,918,372,212.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.