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Finding the Third Proportional to 2,698,257 and 5,746,086

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Solution

The third proportional to 2,698,257 and 5,746,086 is: 12,236,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,257 : 5,746,086 = 5,746,086 : x
  2. Step 2: Convert to fraction form
    2,698,257/5,746,086 = 5,746,086/x
  3. Step 3: Cross multiply
    2,698,257x = 5,746,086 × 5,746,086
  4. Step 4: Simplify right side
    2,698,257x = 33,017,504,319,396
  5. Step 5: Solve for x
    x = 33,017,504,319,396/2,698,257
  6. Step 6: Final answer
    x = 12,236,604.71

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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.