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Finding the Third Proportional to 4,212,809 and 9,074,543

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Solution

The third proportional to 4,212,809 and 9,074,543 is: 19,546,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212,809 : 9,074,543 = 9,074,543 : x
  2. Step 2: Convert to fraction form
    4,212,809/9,074,543 = 9,074,543/x
  3. Step 3: Cross multiply
    4,212,809x = 9,074,543 × 9,074,543
  4. Step 4: Simplify right side
    4,212,809x = 82,347,330,658,849
  5. Step 5: Solve for x
    x = 82,347,330,658,849/4,212,809
  6. Step 6: Final answer
    x = 19,546,893.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.