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Finding the Third Proportional to 2,649,972 and 5,719,848

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Solution

The third proportional to 2,649,972 and 5,719,848 is: 12,346,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,972 : 5,719,848 = 5,719,848 : x
  2. Step 2: Convert to fraction form
    2,649,972/5,719,848 = 5,719,848/x
  3. Step 3: Cross multiply
    2,649,972x = 5,719,848 × 5,719,848
  4. Step 4: Simplify right side
    2,649,972x = 32,716,661,143,104
  5. Step 5: Solve for x
    x = 32,716,661,143,104/2,649,972
  6. Step 6: Final answer
    x = 12,346,040.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.