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Finding the Third Proportional to 481,044 and 1,036,652

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Solution

The third proportional to 481,044 and 1,036,652 is: 2,233,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,044 : 1,036,652 = 1,036,652 : x
  2. Step 2: Convert to fraction form
    481,044/1,036,652 = 1,036,652/x
  3. Step 3: Cross multiply
    481,044x = 1,036,652 × 1,036,652
  4. Step 4: Simplify right side
    481,044x = 1,074,647,369,104
  5. Step 5: Solve for x
    x = 1,074,647,369,104/481,044
  6. Step 6: Final answer
    x = 2,233,989.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.