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Finding the Third Proportional to 669,696 and 1,445,616

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Solution

The third proportional to 669,696 and 1,445,616 is: 3,120,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,696 : 1,445,616 = 1,445,616 : x
  2. Step 2: Convert to fraction form
    669,696/1,445,616 = 1,445,616/x
  3. Step 3: Cross multiply
    669,696x = 1,445,616 × 1,445,616
  4. Step 4: Simplify right side
    669,696x = 2,089,805,619,456
  5. Step 5: Solve for x
    x = 2,089,805,619,456/669,696
  6. Step 6: Final answer
    x = 3,120,528.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.