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Finding the Third Proportional to 3,407,251 and 7,287,259

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Solution

The third proportional to 3,407,251 and 7,287,259 is: 15,585,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,251 : 7,287,259 = 7,287,259 : x
  2. Step 2: Convert to fraction form
    3,407,251/7,287,259 = 7,287,259/x
  3. Step 3: Cross multiply
    3,407,251x = 7,287,259 × 7,287,259
  4. Step 4: Simplify right side
    3,407,251x = 53,104,143,733,081
  5. Step 5: Solve for x
    x = 53,104,143,733,081/3,407,251
  6. Step 6: Final answer
    x = 15,585,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.