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Finding the Third Proportional to 2,484,891 and 5,419,614

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Solution

The third proportional to 2,484,891 and 5,419,614 is: 11,820,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,891 : 5,419,614 = 5,419,614 : x
  2. Step 2: Convert to fraction form
    2,484,891/5,419,614 = 5,419,614/x
  3. Step 3: Cross multiply
    2,484,891x = 5,419,614 × 5,419,614
  4. Step 4: Simplify right side
    2,484,891x = 29,372,215,908,996
  5. Step 5: Solve for x
    x = 29,372,215,908,996/2,484,891
  6. Step 6: Final answer
    x = 11,820,323.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.