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Finding the Third Proportional to 728,144 and 1,139,736

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Solution

The third proportional to 728,144 and 1,139,736 is: 1,783,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,144 : 1,139,736 = 1,139,736 : x
  2. Step 2: Convert to fraction form
    728,144/1,139,736 = 1,139,736/x
  3. Step 3: Cross multiply
    728,144x = 1,139,736 × 1,139,736
  4. Step 4: Simplify right side
    728,144x = 1,298,998,149,696
  5. Step 5: Solve for x
    x = 1,298,998,149,696/728,144
  6. Step 6: Final answer
    x = 1,783,985.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.