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Finding the Third Proportional to 966,816 and 2,117,016

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Solution

The third proportional to 966,816 and 2,117,016 is: 4,635,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,816 : 2,117,016 = 2,117,016 : x
  2. Step 2: Convert to fraction form
    966,816/2,117,016 = 2,117,016/x
  3. Step 3: Cross multiply
    966,816x = 2,117,016 × 2,117,016
  4. Step 4: Simplify right side
    966,816x = 4,481,756,744,256
  5. Step 5: Solve for x
    x = 4,481,756,744,256/966,816
  6. Step 6: Final answer
    x = 4,635,583.96

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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.