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Finding the Third Proportional to 664,048.50 and 1,467,651

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Solution

The third proportional to 664,048.50 and 1,467,651 is: 3,243,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,048.50 : 1,467,651 = 1,467,651 : x
  2. Step 2: Convert to fraction form
    664,048.50/1,467,651 = 1,467,651/x
  3. Step 3: Cross multiply
    664,048.50x = 1,467,651 × 1,467,651
  4. Step 4: Simplify right side
    664,048.50x = 2,153,999,457,801
  5. Step 5: Solve for x
    x = 2,153,999,457,801/664,048.50
  6. Step 6: Final answer
    x = 3,243,738.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.