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Finding the Third Proportional to 917,845 and 1,961,806

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Solution

The third proportional to 917,845 and 1,961,806 is: 4,193,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,845 : 1,961,806 = 1,961,806 : x
  2. Step 2: Convert to fraction form
    917,845/1,961,806 = 1,961,806/x
  3. Step 3: Cross multiply
    917,845x = 1,961,806 × 1,961,806
  4. Step 4: Simplify right side
    917,845x = 3,848,682,781,636
  5. Step 5: Solve for x
    x = 3,848,682,781,636/917,845
  6. Step 6: Final answer
    x = 4,193,172.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.