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Finding the Third Proportional to 605,744 and 1,321,515

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Solution

The third proportional to 605,744 and 1,321,515 is: 2,883,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,744 : 1,321,515 = 1,321,515 : x
  2. Step 2: Convert to fraction form
    605,744/1,321,515 = 1,321,515/x
  3. Step 3: Cross multiply
    605,744x = 1,321,515 × 1,321,515
  4. Step 4: Simplify right side
    605,744x = 1,746,401,895,225
  5. Step 5: Solve for x
    x = 1,746,401,895,225/605,744
  6. Step 6: Final answer
    x = 2,883,069.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.