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Finding the Third Proportional to 500,991 and 1,019,481

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Solution

The third proportional to 500,991 and 1,019,481 is: 2,074,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,991 : 1,019,481 = 1,019,481 : x
  2. Step 2: Convert to fraction form
    500,991/1,019,481 = 1,019,481/x
  3. Step 3: Cross multiply
    500,991x = 1,019,481 × 1,019,481
  4. Step 4: Simplify right side
    500,991x = 1,039,341,509,361
  5. Step 5: Solve for x
    x = 1,039,341,509,361/500,991
  6. Step 6: Final answer
    x = 2,074,571.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.