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Finding the Third Proportional to 1,748,256 and 2,638,448

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Solution

The third proportional to 1,748,256 and 2,638,448 is: 3,981,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,256 : 2,638,448 = 2,638,448 : x
  2. Step 2: Convert to fraction form
    1,748,256/2,638,448 = 2,638,448/x
  3. Step 3: Cross multiply
    1,748,256x = 2,638,448 × 2,638,448
  4. Step 4: Simplify right side
    1,748,256x = 6,961,407,848,704
  5. Step 5: Solve for x
    x = 6,961,407,848,704/1,748,256
  6. Step 6: Final answer
    x = 3,981,915.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.