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Finding the Third Proportional to 433,890 and 888,916

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Solution

The third proportional to 433,890 and 888,916 is: 1,821,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,890 : 888,916 = 888,916 : x
  2. Step 2: Convert to fraction form
    433,890/888,916 = 888,916/x
  3. Step 3: Cross multiply
    433,890x = 888,916 × 888,916
  4. Step 4: Simplify right side
    433,890x = 790,171,655,056
  5. Step 5: Solve for x
    x = 790,171,655,056/433,890
  6. Step 6: Final answer
    x = 1,821,133.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.