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Finding the Third Proportional to 3,244,794.75 and 4,699,885.50

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Solution

The third proportional to 3,244,794.75 and 4,699,885.50 is: 6,807,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244,794.75 : 4,699,885.50 = 4,699,885.50 : x
  2. Step 2: Convert to fraction form
    3,244,794.75/4,699,885.50 = 4,699,885.50/x
  3. Step 3: Cross multiply
    3,244,794.75x = 4,699,885.50 × 4,699,885.50
  4. Step 4: Simplify right side
    3,244,794.75x = 22,088,923,713,110.25
  5. Step 5: Solve for x
    x = 22,088,923,713,110.25/3,244,794.75
  6. Step 6: Final answer
    x = 6,807,494.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.