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Finding the Third Proportional to 535,116 and 1,169,736

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Solution

The third proportional to 535,116 and 1,169,736 is: 2,556,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,116 : 1,169,736 = 1,169,736 : x
  2. Step 2: Convert to fraction form
    535,116/1,169,736 = 1,169,736/x
  3. Step 3: Cross multiply
    535,116x = 1,169,736 × 1,169,736
  4. Step 4: Simplify right side
    535,116x = 1,368,282,309,696
  5. Step 5: Solve for x
    x = 1,368,282,309,696/535,116
  6. Step 6: Final answer
    x = 2,556,982.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.