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Finding the Third Proportional to 1,839,708 and 4,021,416

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Solution

The third proportional to 1,839,708 and 4,021,416 is: 8,790,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,708 : 4,021,416 = 4,021,416 : x
  2. Step 2: Convert to fraction form
    1,839,708/4,021,416 = 4,021,416/x
  3. Step 3: Cross multiply
    1,839,708x = 4,021,416 × 4,021,416
  4. Step 4: Simplify right side
    1,839,708x = 16,171,786,645,056
  5. Step 5: Solve for x
    x = 16,171,786,645,056/1,839,708
  6. Step 6: Final answer
    x = 8,790,409.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.