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Finding the Third Proportional to 1,215,024 and 2,664,064

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Solution

The third proportional to 1,215,024 and 2,664,064 is: 5,841,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,024 : 2,664,064 = 2,664,064 : x
  2. Step 2: Convert to fraction form
    1,215,024/2,664,064 = 2,664,064/x
  3. Step 3: Cross multiply
    1,215,024x = 2,664,064 × 2,664,064
  4. Step 4: Simplify right side
    1,215,024x = 7,097,236,996,096
  5. Step 5: Solve for x
    x = 7,097,236,996,096/1,215,024
  6. Step 6: Final answer
    x = 5,841,231.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.