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Finding the Third Proportional to 2,562,378 and 5,440,818

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Solution

The third proportional to 2,562,378 and 5,440,818 is: 11,552,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562,378 : 5,440,818 = 5,440,818 : x
  2. Step 2: Convert to fraction form
    2,562,378/5,440,818 = 5,440,818/x
  3. Step 3: Cross multiply
    2,562,378x = 5,440,818 × 5,440,818
  4. Step 4: Simplify right side
    2,562,378x = 29,602,500,509,124
  5. Step 5: Solve for x
    x = 29,602,500,509,124/2,562,378
  6. Step 6: Final answer
    x = 11,552,745.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.