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Finding the Third Proportional to 682,184 and 1,408,240

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Solution

The third proportional to 682,184 and 1,408,240 is: 2,907,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,184 : 1,408,240 = 1,408,240 : x
  2. Step 2: Convert to fraction form
    682,184/1,408,240 = 1,408,240/x
  3. Step 3: Cross multiply
    682,184x = 1,408,240 × 1,408,240
  4. Step 4: Simplify right side
    682,184x = 1,983,139,897,600
  5. Step 5: Solve for x
    x = 1,983,139,897,600/682,184
  6. Step 6: Final answer
    x = 2,907,045.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.