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Finding the Third Proportional to 2,059,678 and 4,485,512

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Solution

The third proportional to 2,059,678 and 4,485,512 is: 9,768,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,678 : 4,485,512 = 4,485,512 : x
  2. Step 2: Convert to fraction form
    2,059,678/4,485,512 = 4,485,512/x
  3. Step 3: Cross multiply
    2,059,678x = 4,485,512 × 4,485,512
  4. Step 4: Simplify right side
    2,059,678x = 20,119,817,902,144
  5. Step 5: Solve for x
    x = 20,119,817,902,144/2,059,678
  6. Step 6: Final answer
    x = 9,768,428.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.