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Finding the Third Proportional to 2,125,959 and 3,272,149

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Solution

The third proportional to 2,125,959 and 3,272,149 is: 5,036,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,959 : 3,272,149 = 3,272,149 : x
  2. Step 2: Convert to fraction form
    2,125,959/3,272,149 = 3,272,149/x
  3. Step 3: Cross multiply
    2,125,959x = 3,272,149 × 3,272,149
  4. Step 4: Simplify right side
    2,125,959x = 10,706,959,078,201
  5. Step 5: Solve for x
    x = 10,706,959,078,201/2,125,959
  6. Step 6: Final answer
    x = 5,036,296.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.