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Finding the Third Proportional to 2,086,394.63 and 4,448,361.38

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Solution

The third proportional to 2,086,394.63 and 4,448,361.38 is: 9,484,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,394.63 : 4,448,361.38 = 4,448,361.38 : x
  2. Step 2: Convert to fraction form
    2,086,394.63/4,448,361.38 = 4,448,361.38/x
  3. Step 3: Cross multiply
    2,086,394.63x = 4,448,361.38 × 4,448,361.38
  4. Step 4: Simplify right side
    2,086,394.63x = 19,787,918,922,591.89
  5. Step 5: Solve for x
    x = 19,787,918,922,591.89/2,086,394.63
  6. Step 6: Final answer
    x = 9,484,264.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.