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Finding the Third Proportional to 770,586 and 1,672,484

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Solution

The third proportional to 770,586 and 1,672,484 is: 3,629,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,586 : 1,672,484 = 1,672,484 : x
  2. Step 2: Convert to fraction form
    770,586/1,672,484 = 1,672,484/x
  3. Step 3: Cross multiply
    770,586x = 1,672,484 × 1,672,484
  4. Step 4: Simplify right side
    770,586x = 2,797,202,730,256
  5. Step 5: Solve for x
    x = 2,797,202,730,256/770,586
  6. Step 6: Final answer
    x = 3,629,968.27

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