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Finding the Third Proportional to 1,965,266 and 4,166,722

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Solution

The third proportional to 1,965,266 and 4,166,722 is: 8,834,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,266 : 4,166,722 = 4,166,722 : x
  2. Step 2: Convert to fraction form
    1,965,266/4,166,722 = 4,166,722/x
  3. Step 3: Cross multiply
    1,965,266x = 4,166,722 × 4,166,722
  4. Step 4: Simplify right side
    1,965,266x = 17,361,572,225,284
  5. Step 5: Solve for x
    x = 17,361,572,225,284/1,965,266
  6. Step 6: Final answer
    x = 8,834,209.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.