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Finding the Third Proportional to 2,322,496 and 4,738,304

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Solution

The third proportional to 2,322,496 and 4,738,304 is: 9,666,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,496 : 4,738,304 = 4,738,304 : x
  2. Step 2: Convert to fraction form
    2,322,496/4,738,304 = 4,738,304/x
  3. Step 3: Cross multiply
    2,322,496x = 4,738,304 × 4,738,304
  4. Step 4: Simplify right side
    2,322,496x = 22,451,524,796,416
  5. Step 5: Solve for x
    x = 22,451,524,796,416/2,322,496
  6. Step 6: Final answer
    x = 9,666,981.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.