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Finding the Third Proportional to 2,830,469 and 5,923,378

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Solution

The third proportional to 2,830,469 and 5,923,378 is: 12,395,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830,469 : 5,923,378 = 5,923,378 : x
  2. Step 2: Convert to fraction form
    2,830,469/5,923,378 = 5,923,378/x
  3. Step 3: Cross multiply
    2,830,469x = 5,923,378 × 5,923,378
  4. Step 4: Simplify right side
    2,830,469x = 35,086,406,930,884
  5. Step 5: Solve for x
    x = 35,086,406,930,884/2,830,469
  6. Step 6: Final answer
    x = 12,395,969.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.