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Finding the Third Proportional to 1,382,337 and 2,145,469.50

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Solution

The third proportional to 1,382,337 and 2,145,469.50 is: 3,329,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,337 : 2,145,469.50 = 2,145,469.50 : x
  2. Step 2: Convert to fraction form
    1,382,337/2,145,469.50 = 2,145,469.50/x
  3. Step 3: Cross multiply
    1,382,337x = 2,145,469.50 × 2,145,469.50
  4. Step 4: Simplify right side
    1,382,337x = 4,603,039,375,430.25
  5. Step 5: Solve for x
    x = 4,603,039,375,430.25/1,382,337
  6. Step 6: Final answer
    x = 3,329,896.67

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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.