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Finding the Third Proportional to 728,469 and 1,105,827

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Solution

The third proportional to 728,469 and 1,105,827 is: 1,678,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,469 : 1,105,827 = 1,105,827 : x
  2. Step 2: Convert to fraction form
    728,469/1,105,827 = 1,105,827/x
  3. Step 3: Cross multiply
    728,469x = 1,105,827 × 1,105,827
  4. Step 4: Simplify right side
    728,469x = 1,222,853,353,929
  5. Step 5: Solve for x
    x = 1,222,853,353,929/728,469
  6. Step 6: Final answer
    x = 1,678,662.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.