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Finding the Third Proportional to 665,865 and 1,467,462

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Solution

The third proportional to 665,865 and 1,467,462 is: 3,234,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,865 : 1,467,462 = 1,467,462 : x
  2. Step 2: Convert to fraction form
    665,865/1,467,462 = 1,467,462/x
  3. Step 3: Cross multiply
    665,865x = 1,467,462 × 1,467,462
  4. Step 4: Simplify right side
    665,865x = 2,153,444,721,444
  5. Step 5: Solve for x
    x = 2,153,444,721,444/665,865
  6. Step 6: Final answer
    x = 3,234,056.03

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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.