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Finding the Third Proportional to 1,588,800 and 3,405,024

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Solution

The third proportional to 1,588,800 and 3,405,024 is: 7,297,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,800 : 3,405,024 = 3,405,024 : x
  2. Step 2: Convert to fraction form
    1,588,800/3,405,024 = 3,405,024/x
  3. Step 3: Cross multiply
    1,588,800x = 3,405,024 × 3,405,024
  4. Step 4: Simplify right side
    1,588,800x = 11,594,188,440,576
  5. Step 5: Solve for x
    x = 11,594,188,440,576/1,588,800
  6. Step 6: Final answer
    x = 7,297,449.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.