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Finding the Third Proportional to 1,023,849 and 2,221,736

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Solution

The third proportional to 1,023,849 and 2,221,736 is: 4,821,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,849 : 2,221,736 = 2,221,736 : x
  2. Step 2: Convert to fraction form
    1,023,849/2,221,736 = 2,221,736/x
  3. Step 3: Cross multiply
    1,023,849x = 2,221,736 × 2,221,736
  4. Step 4: Simplify right side
    1,023,849x = 4,936,110,853,696
  5. Step 5: Solve for x
    x = 4,936,110,853,696/1,023,849
  6. Step 6: Final answer
    x = 4,821,131.68

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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.