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Finding the Third Proportional to 482,508 and 1,019,448

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Solution

The third proportional to 482,508 and 1,019,448 is: 2,153,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,508 : 1,019,448 = 1,019,448 : x
  2. Step 2: Convert to fraction form
    482,508/1,019,448 = 1,019,448/x
  3. Step 3: Cross multiply
    482,508x = 1,019,448 × 1,019,448
  4. Step 4: Simplify right side
    482,508x = 1,039,274,224,704
  5. Step 5: Solve for x
    x = 1,039,274,224,704/482,508
  6. Step 6: Final answer
    x = 2,153,900.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.