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Finding the Third Proportional to 647,226 and 1,408,081

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Solution

The third proportional to 647,226 and 1,408,081 is: 3,063,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,226 : 1,408,081 = 1,408,081 : x
  2. Step 2: Convert to fraction form
    647,226/1,408,081 = 1,408,081/x
  3. Step 3: Cross multiply
    647,226x = 1,408,081 × 1,408,081
  4. Step 4: Simplify right side
    647,226x = 1,982,692,102,561
  5. Step 5: Solve for x
    x = 1,982,692,102,561/647,226
  6. Step 6: Final answer
    x = 3,063,369.06

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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.