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Finding the Third Proportional to 664,256 and 1,057,475

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Solution

The third proportional to 664,256 and 1,057,475 is: 1,683,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,256 : 1,057,475 = 1,057,475 : x
  2. Step 2: Convert to fraction form
    664,256/1,057,475 = 1,057,475/x
  3. Step 3: Cross multiply
    664,256x = 1,057,475 × 1,057,475
  4. Step 4: Simplify right side
    664,256x = 1,118,253,375,625
  5. Step 5: Solve for x
    x = 1,118,253,375,625/664,256
  6. Step 6: Final answer
    x = 1,683,467.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.