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Finding the Third Proportional to 1,741,325 and 2,638,323

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Solution

The third proportional to 1,741,325 and 2,638,323 is: 3,997,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,325 : 2,638,323 = 2,638,323 : x
  2. Step 2: Convert to fraction form
    1,741,325/2,638,323 = 2,638,323/x
  3. Step 3: Cross multiply
    1,741,325x = 2,638,323 × 2,638,323
  4. Step 4: Simplify right side
    1,741,325x = 6,960,748,252,329
  5. Step 5: Solve for x
    x = 6,960,748,252,329/1,741,325
  6. Step 6: Final answer
    x = 3,997,386.04

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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.