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Finding the Third Proportional to 647,215 and 1,408,059

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Solution

The third proportional to 647,215 and 1,408,059 is: 3,063,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,215 : 1,408,059 = 1,408,059 : x
  2. Step 2: Convert to fraction form
    647,215/1,408,059 = 1,408,059/x
  3. Step 3: Cross multiply
    647,215x = 1,408,059 × 1,408,059
  4. Step 4: Simplify right side
    647,215x = 1,982,630,147,481
  5. Step 5: Solve for x
    x = 1,982,630,147,481/647,215
  6. Step 6: Final answer
    x = 3,063,325.40

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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.