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Finding the Third Proportional to 722,522.25 and 1,125,137.25

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Solution

The third proportional to 722,522.25 and 1,125,137.25 is: 1,752,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,522.25 : 1,125,137.25 = 1,125,137.25 : x
  2. Step 2: Convert to fraction form
    722,522.25/1,125,137.25 = 1,125,137.25/x
  3. Step 3: Cross multiply
    722,522.25x = 1,125,137.25 × 1,125,137.25
  4. Step 4: Simplify right side
    722,522.25x = 1,265,933,831,337.56
  5. Step 5: Solve for x
    x = 1,265,933,831,337.56/722,522.25
  6. Step 6: Final answer
    x = 1,752,103.59

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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.