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Finding the Third Proportional to 2,090,648 and 2,944,191

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Solution

The third proportional to 2,090,648 and 2,944,191 is: 4,146,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,648 : 2,944,191 = 2,944,191 : x
  2. Step 2: Convert to fraction form
    2,090,648/2,944,191 = 2,944,191/x
  3. Step 3: Cross multiply
    2,090,648x = 2,944,191 × 2,944,191
  4. Step 4: Simplify right side
    2,090,648x = 8,668,260,644,481
  5. Step 5: Solve for x
    x = 8,668,260,644,481/2,090,648
  6. Step 6: Final answer
    x = 4,146,207.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.