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Finding the Third Proportional to 3,457,378 and 5,233,787

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Solution

The third proportional to 3,457,378 and 5,233,787 is: 7,922,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,378 : 5,233,787 = 5,233,787 : x
  2. Step 2: Convert to fraction form
    3,457,378/5,233,787 = 5,233,787/x
  3. Step 3: Cross multiply
    3,457,378x = 5,233,787 × 5,233,787
  4. Step 4: Simplify right side
    3,457,378x = 27,392,526,361,369
  5. Step 5: Solve for x
    x = 27,392,526,361,369/3,457,378
  6. Step 6: Final answer
    x = 7,922,919.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.