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Finding the Third Proportional to 722,525 and 1,125,150

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Solution

The third proportional to 722,525 and 1,125,150 is: 1,752,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,525 : 1,125,150 = 1,125,150 : x
  2. Step 2: Convert to fraction form
    722,525/1,125,150 = 1,125,150/x
  3. Step 3: Cross multiply
    722,525x = 1,125,150 × 1,125,150
  4. Step 4: Simplify right side
    722,525x = 1,265,962,522,500
  5. Step 5: Solve for x
    x = 1,265,962,522,500/722,525
  6. Step 6: Final answer
    x = 1,752,136.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.