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Finding the Third Proportional to 605,828 and 1,311,946

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Solution

The third proportional to 605,828 and 1,311,946 is: 2,841,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,828 : 1,311,946 = 1,311,946 : x
  2. Step 2: Convert to fraction form
    605,828/1,311,946 = 1,311,946/x
  3. Step 3: Cross multiply
    605,828x = 1,311,946 × 1,311,946
  4. Step 4: Simplify right side
    605,828x = 1,721,202,306,916
  5. Step 5: Solve for x
    x = 1,721,202,306,916/605,828
  6. Step 6: Final answer
    x = 2,841,074.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.