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Finding the Third Proportional to 724,992 and 1,102,848

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Solution

The third proportional to 724,992 and 1,102,848 is: 1,677,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,992 : 1,102,848 = 1,102,848 : x
  2. Step 2: Convert to fraction form
    724,992/1,102,848 = 1,102,848/x
  3. Step 3: Cross multiply
    724,992x = 1,102,848 × 1,102,848
  4. Step 4: Simplify right side
    724,992x = 1,216,273,711,104
  5. Step 5: Solve for x
    x = 1,216,273,711,104/724,992
  6. Step 6: Final answer
    x = 1,677,637.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.