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Finding the Third Proportional to 6,194,919 and 8,708,257

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Solution

The third proportional to 6,194,919 and 8,708,257 is: 12,241,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,919 : 8,708,257 = 8,708,257 : x
  2. Step 2: Convert to fraction form
    6,194,919/8,708,257 = 8,708,257/x
  3. Step 3: Cross multiply
    6,194,919x = 8,708,257 × 8,708,257
  4. Step 4: Simplify right side
    6,194,919x = 75,833,739,978,049
  5. Step 5: Solve for x
    x = 75,833,739,978,049/6,194,919
  6. Step 6: Final answer
    x = 12,241,280.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.