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Finding the Third Proportional to 685,266 and 1,472,592

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Solution

The third proportional to 685,266 and 1,472,592 is: 3,164,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,266 : 1,472,592 = 1,472,592 : x
  2. Step 2: Convert to fraction form
    685,266/1,472,592 = 1,472,592/x
  3. Step 3: Cross multiply
    685,266x = 1,472,592 × 1,472,592
  4. Step 4: Simplify right side
    685,266x = 2,168,527,198,464
  5. Step 5: Solve for x
    x = 2,168,527,198,464/685,266
  6. Step 6: Final answer
    x = 3,164,504.29

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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.