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Finding the Third Proportional to 635,648 and 942,477

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Solution

The third proportional to 635,648 and 942,477 is: 1,397,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,648 : 942,477 = 942,477 : x
  2. Step 2: Convert to fraction form
    635,648/942,477 = 942,477/x
  3. Step 3: Cross multiply
    635,648x = 942,477 × 942,477
  4. Step 4: Simplify right side
    635,648x = 888,262,895,529
  5. Step 5: Solve for x
    x = 888,262,895,529/635,648
  6. Step 6: Final answer
    x = 1,397,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.