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Finding the Third Proportional to 482,558 and 953,006

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Solution

The third proportional to 482,558 and 953,006 is: 1,882,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,558 : 953,006 = 953,006 : x
  2. Step 2: Convert to fraction form
    482,558/953,006 = 953,006/x
  3. Step 3: Cross multiply
    482,558x = 953,006 × 953,006
  4. Step 4: Simplify right side
    482,558x = 908,220,436,036
  5. Step 5: Solve for x
    x = 908,220,436,036/482,558
  6. Step 6: Final answer
    x = 1,882,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.