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Finding the Third Proportional to 498,446 and 1,093,394

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Solution

The third proportional to 498,446 and 1,093,394 is: 2,398,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,446 : 1,093,394 = 1,093,394 : x
  2. Step 2: Convert to fraction form
    498,446/1,093,394 = 1,093,394/x
  3. Step 3: Cross multiply
    498,446x = 1,093,394 × 1,093,394
  4. Step 4: Simplify right side
    498,446x = 1,195,510,439,236
  5. Step 5: Solve for x
    x = 1,195,510,439,236/498,446
  6. Step 6: Final answer
    x = 2,398,475.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.