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Finding the Third Proportional to 481,849 and 1,036,365

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Solution

The third proportional to 481,849 and 1,036,365 is: 2,229,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,849 : 1,036,365 = 1,036,365 : x
  2. Step 2: Convert to fraction form
    481,849/1,036,365 = 1,036,365/x
  3. Step 3: Cross multiply
    481,849x = 1,036,365 × 1,036,365
  4. Step 4: Simplify right side
    481,849x = 1,074,052,413,225
  5. Step 5: Solve for x
    x = 1,074,052,413,225/481,849
  6. Step 6: Final answer
    x = 2,229,022.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.