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Finding the Third Proportional to 2,609,825 and 5,749,426

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Solution

The third proportional to 2,609,825 and 5,749,426 is: 12,665,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,825 : 5,749,426 = 5,749,426 : x
  2. Step 2: Convert to fraction form
    2,609,825/5,749,426 = 5,749,426/x
  3. Step 3: Cross multiply
    2,609,825x = 5,749,426 × 5,749,426
  4. Step 4: Simplify right side
    2,609,825x = 33,055,899,329,476
  5. Step 5: Solve for x
    x = 33,055,899,329,476/2,609,825
  6. Step 6: Final answer
    x = 12,665,944.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.