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Finding the Third Proportional to 1,424,819 and 2,907,769

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Solution

The third proportional to 1,424,819 and 2,907,769 is: 5,934,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,819 : 2,907,769 = 2,907,769 : x
  2. Step 2: Convert to fraction form
    1,424,819/2,907,769 = 2,907,769/x
  3. Step 3: Cross multiply
    1,424,819x = 2,907,769 × 2,907,769
  4. Step 4: Simplify right side
    1,424,819x = 8,455,120,557,361
  5. Step 5: Solve for x
    x = 8,455,120,557,361/1,424,819
  6. Step 6: Final answer
    x = 5,934,171.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.