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Finding the Third Proportional to 490,498 and 1,095,793

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Solution

The third proportional to 490,498 and 1,095,793 is: 2,448,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,498 : 1,095,793 = 1,095,793 : x
  2. Step 2: Convert to fraction form
    490,498/1,095,793 = 1,095,793/x
  3. Step 3: Cross multiply
    490,498x = 1,095,793 × 1,095,793
  4. Step 4: Simplify right side
    490,498x = 1,200,762,298,849
  5. Step 5: Solve for x
    x = 1,200,762,298,849/490,498
  6. Step 6: Final answer
    x = 2,448,047.29

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.