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Finding the Third Proportional to 682,564 and 1,481,153

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Solution

The third proportional to 682,564 and 1,481,153 is: 3,214,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,564 : 1,481,153 = 1,481,153 : x
  2. Step 2: Convert to fraction form
    682,564/1,481,153 = 1,481,153/x
  3. Step 3: Cross multiply
    682,564x = 1,481,153 × 1,481,153
  4. Step 4: Simplify right side
    682,564x = 2,193,814,209,409
  5. Step 5: Solve for x
    x = 2,193,814,209,409/682,564
  6. Step 6: Final answer
    x = 3,214,078.40

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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.