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Finding the Third Proportional to 482,562 and 953,014

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Solution

The third proportional to 482,562 and 953,014 is: 1,882,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,562 : 953,014 = 953,014 : x
  2. Step 2: Convert to fraction form
    482,562/953,014 = 953,014/x
  3. Step 3: Cross multiply
    482,562x = 953,014 × 953,014
  4. Step 4: Simplify right side
    482,562x = 908,235,684,196
  5. Step 5: Solve for x
    x = 908,235,684,196/482,562
  6. Step 6: Final answer
    x = 1,882,111.90

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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.