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Finding the Third Proportional to 498,081 and 1,100,829

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Solution

The third proportional to 498,081 and 1,100,829 is: 2,432,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,081 : 1,100,829 = 1,100,829 : x
  2. Step 2: Convert to fraction form
    498,081/1,100,829 = 1,100,829/x
  3. Step 3: Cross multiply
    498,081x = 1,100,829 × 1,100,829
  4. Step 4: Simplify right side
    498,081x = 1,211,824,487,241
  5. Step 5: Solve for x
    x = 1,211,824,487,241/498,081
  6. Step 6: Final answer
    x = 2,432,986.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.