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Finding the Third Proportional to 930,172 and 1,993,200

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Solution

The third proportional to 930,172 and 1,993,200 is: 4,271,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,172 : 1,993,200 = 1,993,200 : x
  2. Step 2: Convert to fraction form
    930,172/1,993,200 = 1,993,200/x
  3. Step 3: Cross multiply
    930,172x = 1,993,200 × 1,993,200
  4. Step 4: Simplify right side
    930,172x = 3,972,846,240,000
  5. Step 5: Solve for x
    x = 3,972,846,240,000/930,172
  6. Step 6: Final answer
    x = 4,271,087.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.