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Finding the Third Proportional to 482,560 and 953,010

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Solution

The third proportional to 482,560 and 953,010 is: 1,882,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,560 : 953,010 = 953,010 : x
  2. Step 2: Convert to fraction form
    482,560/953,010 = 953,010/x
  3. Step 3: Cross multiply
    482,560x = 953,010 × 953,010
  4. Step 4: Simplify right side
    482,560x = 908,228,060,100
  5. Step 5: Solve for x
    x = 908,228,060,100/482,560
  6. Step 6: Final answer
    x = 1,882,103.90

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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.