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Finding the Third Proportional to 646,676 and 1,410,824

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Solution

The third proportional to 646,676 and 1,410,824 is: 3,077,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,676 : 1,410,824 = 1,410,824 : x
  2. Step 2: Convert to fraction form
    646,676/1,410,824 = 1,410,824/x
  3. Step 3: Cross multiply
    646,676x = 1,410,824 × 1,410,824
  4. Step 4: Simplify right side
    646,676x = 1,990,424,358,976
  5. Step 5: Solve for x
    x = 1,990,424,358,976/646,676
  6. Step 6: Final answer
    x = 3,077,931.39

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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.