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Finding the Third Proportional to 498,447 and 1,096,578

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Solution

The third proportional to 498,447 and 1,096,578 is: 2,412,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,447 : 1,096,578 = 1,096,578 : x
  2. Step 2: Convert to fraction form
    498,447/1,096,578 = 1,096,578/x
  3. Step 3: Cross multiply
    498,447x = 1,096,578 × 1,096,578
  4. Step 4: Simplify right side
    498,447x = 1,202,483,310,084
  5. Step 5: Solve for x
    x = 1,202,483,310,084/498,447
  6. Step 6: Final answer
    x = 2,412,459.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.