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Finding the Third Proportional to 492,864 and 1,003,592

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Solution

The third proportional to 492,864 and 1,003,592 is: 2,043,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864 : 1,003,592 = 1,003,592 : x
  2. Step 2: Convert to fraction form
    492,864/1,003,592 = 1,003,592/x
  3. Step 3: Cross multiply
    492,864x = 1,003,592 × 1,003,592
  4. Step 4: Simplify right side
    492,864x = 1,007,196,902,464
  5. Step 5: Solve for x
    x = 1,007,196,902,464/492,864
  6. Step 6: Final answer
    x = 2,043,559.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.