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Finding the Third Proportional to 471,900 and 1,026,732

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Solution

The third proportional to 471,900 and 1,026,732 is: 2,233,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,900 : 1,026,732 = 1,026,732 : x
  2. Step 2: Convert to fraction form
    471,900/1,026,732 = 1,026,732/x
  3. Step 3: Cross multiply
    471,900x = 1,026,732 × 1,026,732
  4. Step 4: Simplify right side
    471,900x = 1,054,178,599,824
  5. Step 5: Solve for x
    x = 1,054,178,599,824/471,900
  6. Step 6: Final answer
    x = 2,233,902.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.