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Finding the Third Proportional to 6,194,917 and 8,708,254

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Solution

The third proportional to 6,194,917 and 8,708,254 is: 12,241,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,917 : 8,708,254 = 8,708,254 : x
  2. Step 2: Convert to fraction form
    6,194,917/8,708,254 = 8,708,254/x
  3. Step 3: Cross multiply
    6,194,917x = 8,708,254 × 8,708,254
  4. Step 4: Simplify right side
    6,194,917x = 75,833,687,728,516
  5. Step 5: Solve for x
    x = 75,833,687,728,516/6,194,917
  6. Step 6: Final answer
    x = 12,241,275.83

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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.