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Finding the Third Proportional to 1,884,006 and 4,080,780

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Solution

The third proportional to 1,884,006 and 4,080,780 is: 8,839,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884,006 : 4,080,780 = 4,080,780 : x
  2. Step 2: Convert to fraction form
    1,884,006/4,080,780 = 4,080,780/x
  3. Step 3: Cross multiply
    1,884,006x = 4,080,780 × 4,080,780
  4. Step 4: Simplify right side
    1,884,006x = 16,652,765,408,400
  5. Step 5: Solve for x
    x = 16,652,765,408,400/1,884,006
  6. Step 6: Final answer
    x = 8,839,019.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.