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Finding the Third Proportional to 2,133,794 and 4,633,916

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Solution

The third proportional to 2,133,794 and 4,633,916 is: 10,063,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,794 : 4,633,916 = 4,633,916 : x
  2. Step 2: Convert to fraction form
    2,133,794/4,633,916 = 4,633,916/x
  3. Step 3: Cross multiply
    2,133,794x = 4,633,916 × 4,633,916
  4. Step 4: Simplify right side
    2,133,794x = 21,473,177,495,056
  5. Step 5: Solve for x
    x = 21,473,177,495,056/2,133,794
  6. Step 6: Final answer
    x = 10,063,378.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.