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Finding the Third Proportional to 905,770 and 1,850,868

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Solution

The third proportional to 905,770 and 1,850,868 is: 3,782,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,770 : 1,850,868 = 1,850,868 : x
  2. Step 2: Convert to fraction form
    905,770/1,850,868 = 1,850,868/x
  3. Step 3: Cross multiply
    905,770x = 1,850,868 × 1,850,868
  4. Step 4: Simplify right side
    905,770x = 3,425,712,353,424
  5. Step 5: Solve for x
    x = 3,425,712,353,424/905,770
  6. Step 6: Final answer
    x = 3,782,099.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.