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Finding the Third Proportional to 685,296 and 1,472,652

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Solution

The third proportional to 685,296 and 1,472,652 is: 3,164,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,296 : 1,472,652 = 1,472,652 : x
  2. Step 2: Convert to fraction form
    685,296/1,472,652 = 1,472,652/x
  3. Step 3: Cross multiply
    685,296x = 1,472,652 × 1,472,652
  4. Step 4: Simplify right side
    685,296x = 2,168,703,913,104
  5. Step 5: Solve for x
    x = 2,168,703,913,104/685,296
  6. Step 6: Final answer
    x = 3,164,623.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.