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Finding the Third Proportional to 3,362,584.50 and 5,353,148.25

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Solution

The third proportional to 3,362,584.50 and 5,353,148.25 is: 8,522,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362,584.50 : 5,353,148.25 = 5,353,148.25 : x
  2. Step 2: Convert to fraction form
    3,362,584.50/5,353,148.25 = 5,353,148.25/x
  3. Step 3: Cross multiply
    3,362,584.50x = 5,353,148.25 × 5,353,148.25
  4. Step 4: Simplify right side
    3,362,584.50x = 28,656,196,186,478.06
  5. Step 5: Solve for x
    x = 28,656,196,186,478.06/3,362,584.50
  6. Step 6: Final answer
    x = 8,522,074.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.