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Finding the Third Proportional to 3,192,649 and 4,956,853.50

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Solution

The third proportional to 3,192,649 and 4,956,853.50 is: 7,695,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,649 : 4,956,853.50 = 4,956,853.50 : x
  2. Step 2: Convert to fraction form
    3,192,649/4,956,853.50 = 4,956,853.50/x
  3. Step 3: Cross multiply
    3,192,649x = 4,956,853.50 × 4,956,853.50
  4. Step 4: Simplify right side
    3,192,649x = 24,570,396,620,462.25
  5. Step 5: Solve for x
    x = 24,570,396,620,462.25/3,192,649
  6. Step 6: Final answer
    x = 7,695,927.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.