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Finding the Third Proportional to 2,457,321.50 and 3,846,401

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Solution

The third proportional to 2,457,321.50 and 3,846,401 is: 6,020,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,321.50 : 3,846,401 = 3,846,401 : x
  2. Step 2: Convert to fraction form
    2,457,321.50/3,846,401 = 3,846,401/x
  3. Step 3: Cross multiply
    2,457,321.50x = 3,846,401 × 3,846,401
  4. Step 4: Simplify right side
    2,457,321.50x = 14,794,800,652,801
  5. Step 5: Solve for x
    x = 14,794,800,652,801/2,457,321.50
  6. Step 6: Final answer
    x = 6,020,702.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.