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Finding the Third Proportional to 682,516 and 1,469,684

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Solution

The third proportional to 682,516 and 1,469,684 is: 3,164,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,516 : 1,469,684 = 1,469,684 : x
  2. Step 2: Convert to fraction form
    682,516/1,469,684 = 1,469,684/x
  3. Step 3: Cross multiply
    682,516x = 1,469,684 × 1,469,684
  4. Step 4: Simplify right side
    682,516x = 2,159,971,059,856
  5. Step 5: Solve for x
    x = 2,159,971,059,856/682,516
  6. Step 6: Final answer
    x = 3,164,718.57

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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.