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Finding the Third Proportional to 1,741,382 and 2,638,357

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Solution

The third proportional to 1,741,382 and 2,638,357 is: 3,997,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,382 : 2,638,357 = 2,638,357 : x
  2. Step 2: Convert to fraction form
    1,741,382/2,638,357 = 2,638,357/x
  3. Step 3: Cross multiply
    1,741,382x = 2,638,357 × 2,638,357
  4. Step 4: Simplify right side
    1,741,382x = 6,960,927,659,449
  5. Step 5: Solve for x
    x = 6,960,927,659,449/1,741,382
  6. Step 6: Final answer
    x = 3,997,358.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.