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Finding the Third Proportional to 1,941,639.75 and 3,039,221.63

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Solution

The third proportional to 1,941,639.75 and 3,039,221.63 is: 4,757,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,639.75 : 3,039,221.63 = 3,039,221.63 : x
  2. Step 2: Convert to fraction form
    1,941,639.75/3,039,221.63 = 3,039,221.63/x
  3. Step 3: Cross multiply
    1,941,639.75x = 3,039,221.63 × 3,039,221.63
  4. Step 4: Simplify right side
    1,941,639.75x = 9,236,868,085,867.64
  5. Step 5: Solve for x
    x = 9,236,868,085,867.64/1,941,639.75
  6. Step 6: Final answer
    x = 4,757,251.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.