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Finding the Third Proportional to 1,117,728 and 2,414,016

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Solution

The third proportional to 1,117,728 and 2,414,016 is: 5,213,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,728 : 2,414,016 = 2,414,016 : x
  2. Step 2: Convert to fraction form
    1,117,728/2,414,016 = 2,414,016/x
  3. Step 3: Cross multiply
    1,117,728x = 2,414,016 × 2,414,016
  4. Step 4: Simplify right side
    1,117,728x = 5,827,473,248,256
  5. Step 5: Solve for x
    x = 5,827,473,248,256/1,117,728
  6. Step 6: Final answer
    x = 5,213,677.43

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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.