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Finding the Third Proportional to 2,044,842 and 3,027,780

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Solution

The third proportional to 2,044,842 and 3,027,780 is: 4,483,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,842 : 3,027,780 = 3,027,780 : x
  2. Step 2: Convert to fraction form
    2,044,842/3,027,780 = 3,027,780/x
  3. Step 3: Cross multiply
    2,044,842x = 3,027,780 × 3,027,780
  4. Step 4: Simplify right side
    2,044,842x = 9,167,451,728,400
  5. Step 5: Solve for x
    x = 9,167,451,728,400/2,044,842
  6. Step 6: Final answer
    x = 4,483,207.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.