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Finding the Third Proportional to 2,322,444 and 4,976,664

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Solution

The third proportional to 2,322,444 and 4,976,664 is: 10,664,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,444 : 4,976,664 = 4,976,664 : x
  2. Step 2: Convert to fraction form
    2,322,444/4,976,664 = 4,976,664/x
  3. Step 3: Cross multiply
    2,322,444x = 4,976,664 × 4,976,664
  4. Step 4: Simplify right side
    2,322,444x = 24,767,184,568,896
  5. Step 5: Solve for x
    x = 24,767,184,568,896/2,322,444
  6. Step 6: Final answer
    x = 10,664,276.33

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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.