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Finding the Third Proportional to 722,004 and 1,122,493

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Solution

The third proportional to 722,004 and 1,122,493 is: 1,745,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,004 : 1,122,493 = 1,122,493 : x
  2. Step 2: Convert to fraction form
    722,004/1,122,493 = 1,122,493/x
  3. Step 3: Cross multiply
    722,004x = 1,122,493 × 1,122,493
  4. Step 4: Simplify right side
    722,004x = 1,259,990,535,049
  5. Step 5: Solve for x
    x = 1,259,990,535,049/722,004
  6. Step 6: Final answer
    x = 1,745,129.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.