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Finding the Third Proportional to 492,806 and 1,008,940

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Solution

The third proportional to 492,806 and 1,008,940 is: 2,065,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,806 : 1,008,940 = 1,008,940 : x
  2. Step 2: Convert to fraction form
    492,806/1,008,940 = 1,008,940/x
  3. Step 3: Cross multiply
    492,806x = 1,008,940 × 1,008,940
  4. Step 4: Simplify right side
    492,806x = 1,017,959,923,600
  5. Step 5: Solve for x
    x = 1,017,959,923,600/492,806
  6. Step 6: Final answer
    x = 2,065,640.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.