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Finding the Third Proportional to 462,277 and 994,538

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Solution

The third proportional to 462,277 and 994,538 is: 2,139,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,277 : 994,538 = 994,538 : x
  2. Step 2: Convert to fraction form
    462,277/994,538 = 994,538/x
  3. Step 3: Cross multiply
    462,277x = 994,538 × 994,538
  4. Step 4: Simplify right side
    462,277x = 989,105,833,444
  5. Step 5: Solve for x
    x = 989,105,833,444/462,277
  6. Step 6: Final answer
    x = 2,139,638.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.