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Finding the Third Proportional to 2,285,914 and 3,134,609

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Solution

The third proportional to 2,285,914 and 3,134,609 is: 4,298,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,914 : 3,134,609 = 3,134,609 : x
  2. Step 2: Convert to fraction form
    2,285,914/3,134,609 = 3,134,609/x
  3. Step 3: Cross multiply
    2,285,914x = 3,134,609 × 3,134,609
  4. Step 4: Simplify right side
    2,285,914x = 9,825,773,582,881
  5. Step 5: Solve for x
    x = 9,825,773,582,881/2,285,914
  6. Step 6: Final answer
    x = 4,298,400.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.