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Finding the Third Proportional to 1,477,660.50 and 3,191,085

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Solution

The third proportional to 1,477,660.50 and 3,191,085 is: 6,891,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,660.50 : 3,191,085 = 3,191,085 : x
  2. Step 2: Convert to fraction form
    1,477,660.50/3,191,085 = 3,191,085/x
  3. Step 3: Cross multiply
    1,477,660.50x = 3,191,085 × 3,191,085
  4. Step 4: Simplify right side
    1,477,660.50x = 10,183,023,477,225
  5. Step 5: Solve for x
    x = 10,183,023,477,225/1,477,660.50
  6. Step 6: Final answer
    x = 6,891,314.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.