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Finding the Third Proportional to 682,596 and 1,489,416

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Solution

The third proportional to 682,596 and 1,489,416 is: 3,249,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,596 : 1,489,416 = 1,489,416 : x
  2. Step 2: Convert to fraction form
    682,596/1,489,416 = 1,489,416/x
  3. Step 3: Cross multiply
    682,596x = 1,489,416 × 1,489,416
  4. Step 4: Simplify right side
    682,596x = 2,218,360,021,056
  5. Step 5: Solve for x
    x = 2,218,360,021,056/682,596
  6. Step 6: Final answer
    x = 3,249,887.23

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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.