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Finding the Third Proportional to 492,498 and 1,078,414

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Solution

The third proportional to 492,498 and 1,078,414 is: 2,361,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,498 : 1,078,414 = 1,078,414 : x
  2. Step 2: Convert to fraction form
    492,498/1,078,414 = 1,078,414/x
  3. Step 3: Cross multiply
    492,498x = 1,078,414 × 1,078,414
  4. Step 4: Simplify right side
    492,498x = 1,162,976,755,396
  5. Step 5: Solve for x
    x = 1,162,976,755,396/492,498
  6. Step 6: Final answer
    x = 2,361,383.71

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