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Finding the Third Proportional to 426,161.25 and 946,917

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Solution

The third proportional to 426,161.25 and 946,917 is: 2,104,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,161.25 : 946,917 = 946,917 : x
  2. Step 2: Convert to fraction form
    426,161.25/946,917 = 946,917/x
  3. Step 3: Cross multiply
    426,161.25x = 946,917 × 946,917
  4. Step 4: Simplify right side
    426,161.25x = 896,651,804,889
  5. Step 5: Solve for x
    x = 896,651,804,889/426,161.25
  6. Step 6: Final answer
    x = 2,104,020.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.