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Finding the Third Proportional to 1,286,262 and 2,743,389

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Solution

The third proportional to 1,286,262 and 2,743,389 is: 5,851,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,262 : 2,743,389 = 2,743,389 : x
  2. Step 2: Convert to fraction form
    1,286,262/2,743,389 = 2,743,389/x
  3. Step 3: Cross multiply
    1,286,262x = 2,743,389 × 2,743,389
  4. Step 4: Simplify right side
    1,286,262x = 7,526,183,205,321
  5. Step 5: Solve for x
    x = 7,526,183,205,321/1,286,262
  6. Step 6: Final answer
    x = 5,851,205.44

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