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Finding the Third Proportional to 824,954 and 1,749,916

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Solution

The third proportional to 824,954 and 1,749,916 is: 3,711,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,954 : 1,749,916 = 1,749,916 : x
  2. Step 2: Convert to fraction form
    824,954/1,749,916 = 1,749,916/x
  3. Step 3: Cross multiply
    824,954x = 1,749,916 × 1,749,916
  4. Step 4: Simplify right side
    824,954x = 3,062,206,007,056
  5. Step 5: Solve for x
    x = 3,062,206,007,056/824,954
  6. Step 6: Final answer
    x = 3,711,971.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.