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Finding the Third Proportional to 722,078 and 972,544

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Solution

The third proportional to 722,078 and 972,544 is: 1,309,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,078 : 972,544 = 972,544 : x
  2. Step 2: Convert to fraction form
    722,078/972,544 = 972,544/x
  3. Step 3: Cross multiply
    722,078x = 972,544 × 972,544
  4. Step 4: Simplify right side
    722,078x = 945,841,831,936
  5. Step 5: Solve for x
    x = 945,841,831,936/722,078
  6. Step 6: Final answer
    x = 1,309,888.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.