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Finding the Third Proportional to 665,912 and 1,467,550

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Solution

The third proportional to 665,912 and 1,467,550 is: 3,234,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,912 : 1,467,550 = 1,467,550 : x
  2. Step 2: Convert to fraction form
    665,912/1,467,550 = 1,467,550/x
  3. Step 3: Cross multiply
    665,912x = 1,467,550 × 1,467,550
  4. Step 4: Simplify right side
    665,912x = 2,153,703,002,500
  5. Step 5: Solve for x
    x = 2,153,703,002,500/665,912
  6. Step 6: Final answer
    x = 3,234,215.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.