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Finding the Third Proportional to 647,284 and 1,408,184

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Solution

The third proportional to 647,284 and 1,408,184 is: 3,063,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,284 : 1,408,184 = 1,408,184 : x
  2. Step 2: Convert to fraction form
    647,284/1,408,184 = 1,408,184/x
  3. Step 3: Cross multiply
    647,284x = 1,408,184 × 1,408,184
  4. Step 4: Simplify right side
    647,284x = 1,982,982,177,856
  5. Step 5: Solve for x
    x = 1,982,982,177,856/647,284
  6. Step 6: Final answer
    x = 3,063,542.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.