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Finding the Third Proportional to 482,510 and 1,019,452

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Solution

The third proportional to 482,510 and 1,019,452 is: 2,153,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,510 : 1,019,452 = 1,019,452 : x
  2. Step 2: Convert to fraction form
    482,510/1,019,452 = 1,019,452/x
  3. Step 3: Cross multiply
    482,510x = 1,019,452 × 1,019,452
  4. Step 4: Simplify right side
    482,510x = 1,039,282,380,304
  5. Step 5: Solve for x
    x = 1,039,282,380,304/482,510
  6. Step 6: Final answer
    x = 2,153,908.48

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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.