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Finding the Third Proportional to 498,448 and 1,093,398

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Solution

The third proportional to 498,448 and 1,093,398 is: 2,398,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,448 : 1,093,398 = 1,093,398 : x
  2. Step 2: Convert to fraction form
    498,448/1,093,398 = 1,093,398/x
  3. Step 3: Cross multiply
    498,448x = 1,093,398 × 1,093,398
  4. Step 4: Simplify right side
    498,448x = 1,195,519,186,404
  5. Step 5: Solve for x
    x = 1,195,519,186,404/498,448
  6. Step 6: Final answer
    x = 2,398,483.26

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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.