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Finding the Third Proportional to 1,286,690 and 2,718,532

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Solution

The third proportional to 1,286,690 and 2,718,532 is: 5,743,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,690 : 2,718,532 = 2,718,532 : x
  2. Step 2: Convert to fraction form
    1,286,690/2,718,532 = 2,718,532/x
  3. Step 3: Cross multiply
    1,286,690x = 2,718,532 × 2,718,532
  4. Step 4: Simplify right side
    1,286,690x = 7,390,416,235,024
  5. Step 5: Solve for x
    x = 7,390,416,235,024/1,286,690
  6. Step 6: Final answer
    x = 5,743,742.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.