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Finding the Third Proportional to 461,904 and 1,028,736

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Solution

The third proportional to 461,904 and 1,028,736 is: 2,291,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,904 : 1,028,736 = 1,028,736 : x
  2. Step 2: Convert to fraction form
    461,904/1,028,736 = 1,028,736/x
  3. Step 3: Cross multiply
    461,904x = 1,028,736 × 1,028,736
  4. Step 4: Simplify right side
    461,904x = 1,058,297,757,696
  5. Step 5: Solve for x
    x = 1,058,297,757,696/461,904
  6. Step 6: Final answer
    x = 2,291,163.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.