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Finding the Third Proportional to 465,848 and 992,704

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Solution

The third proportional to 465,848 and 992,704 is: 2,115,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,848 : 992,704 = 992,704 : x
  2. Step 2: Convert to fraction form
    465,848/992,704 = 992,704/x
  3. Step 3: Cross multiply
    465,848x = 992,704 × 992,704
  4. Step 4: Simplify right side
    465,848x = 985,461,231,616
  5. Step 5: Solve for x
    x = 985,461,231,616/465,848
  6. Step 6: Final answer
    x = 2,115,413.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.