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Finding the Third Proportional to 4,083,324 and 6,267,741

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Solution

The third proportional to 4,083,324 and 6,267,741 is: 9,620,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083,324 : 6,267,741 = 6,267,741 : x
  2. Step 2: Convert to fraction form
    4,083,324/6,267,741 = 6,267,741/x
  3. Step 3: Cross multiply
    4,083,324x = 6,267,741 × 6,267,741
  4. Step 4: Simplify right side
    4,083,324x = 39,284,577,243,081
  5. Step 5: Solve for x
    x = 39,284,577,243,081/4,083,324
  6. Step 6: Final answer
    x = 9,620,734.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.