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Finding the Third Proportional to 2,424,767 and 4,041,116

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Solution

The third proportional to 2,424,767 and 4,041,116 is: 6,734,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,767 : 4,041,116 = 4,041,116 : x
  2. Step 2: Convert to fraction form
    2,424,767/4,041,116 = 4,041,116/x
  3. Step 3: Cross multiply
    2,424,767x = 4,041,116 × 4,041,116
  4. Step 4: Simplify right side
    2,424,767x = 16,330,618,525,456
  5. Step 5: Solve for x
    x = 16,330,618,525,456/2,424,767
  6. Step 6: Final answer
    x = 6,734,922.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.