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Finding the Third Proportional to 872,448 and 1,824,357

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Solution

The third proportional to 872,448 and 1,824,357 is: 3,814,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,448 : 1,824,357 = 1,824,357 : x
  2. Step 2: Convert to fraction form
    872,448/1,824,357 = 1,824,357/x
  3. Step 3: Cross multiply
    872,448x = 1,824,357 × 1,824,357
  4. Step 4: Simplify right side
    872,448x = 3,328,278,463,449
  5. Step 5: Solve for x
    x = 3,328,278,463,449/872,448
  6. Step 6: Final answer
    x = 3,814,873.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.