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Finding the Third Proportional to 793,640 and 1,197,616

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Solution

The third proportional to 793,640 and 1,197,616 is: 1,807,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,640 : 1,197,616 = 1,197,616 : x
  2. Step 2: Convert to fraction form
    793,640/1,197,616 = 1,197,616/x
  3. Step 3: Cross multiply
    793,640x = 1,197,616 × 1,197,616
  4. Step 4: Simplify right side
    793,640x = 1,434,284,083,456
  5. Step 5: Solve for x
    x = 1,434,284,083,456/793,640
  6. Step 6: Final answer
    x = 1,807,222.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.