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Finding the Third Proportional to 682,724 and 1,485,835

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Solution

The third proportional to 682,724 and 1,485,835 is: 3,233,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,724 : 1,485,835 = 1,485,835 : x
  2. Step 2: Convert to fraction form
    682,724/1,485,835 = 1,485,835/x
  3. Step 3: Cross multiply
    682,724x = 1,485,835 × 1,485,835
  4. Step 4: Simplify right side
    682,724x = 2,207,705,647,225
  5. Step 5: Solve for x
    x = 2,207,705,647,225/682,724
  6. Step 6: Final answer
    x = 3,233,672.24

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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.