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Finding the Third Proportional to 2,457,792 and 5,033,682

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Solution

The third proportional to 2,457,792 and 5,033,682 is: 10,309,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,792 : 5,033,682 = 5,033,682 : x
  2. Step 2: Convert to fraction form
    2,457,792/5,033,682 = 5,033,682/x
  3. Step 3: Cross multiply
    2,457,792x = 5,033,682 × 5,033,682
  4. Step 4: Simplify right side
    2,457,792x = 25,337,954,477,124
  5. Step 5: Solve for x
    x = 25,337,954,477,124/2,457,792
  6. Step 6: Final answer
    x = 10,309,234.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.