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Finding the Third Proportional to 930,170 and 1,993,196

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Solution

The third proportional to 930,170 and 1,993,196 is: 4,271,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,170 : 1,993,196 = 1,993,196 : x
  2. Step 2: Convert to fraction form
    930,170/1,993,196 = 1,993,196/x
  3. Step 3: Cross multiply
    930,170x = 1,993,196 × 1,993,196
  4. Step 4: Simplify right side
    930,170x = 3,972,830,294,416
  5. Step 5: Solve for x
    x = 3,972,830,294,416/930,170
  6. Step 6: Final answer
    x = 4,271,079.80

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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.