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Finding the Third Proportional to 946,398 and 1,469,519

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Solution

The third proportional to 946,398 and 1,469,519 is: 2,281,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,398 : 1,469,519 = 1,469,519 : x
  2. Step 2: Convert to fraction form
    946,398/1,469,519 = 1,469,519/x
  3. Step 3: Cross multiply
    946,398x = 1,469,519 × 1,469,519
  4. Step 4: Simplify right side
    946,398x = 2,159,486,091,361
  5. Step 5: Solve for x
    x = 2,159,486,091,361/946,398
  6. Step 6: Final answer
    x = 2,281,794.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.