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Finding the Third Proportional to 498,982 and 1,083,258

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Solution

The third proportional to 498,982 and 1,083,258 is: 2,351,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,982 : 1,083,258 = 1,083,258 : x
  2. Step 2: Convert to fraction form
    498,982/1,083,258 = 1,083,258/x
  3. Step 3: Cross multiply
    498,982x = 1,083,258 × 1,083,258
  4. Step 4: Simplify right side
    498,982x = 1,173,447,894,564
  5. Step 5: Solve for x
    x = 1,173,447,894,564/498,982
  6. Step 6: Final answer
    x = 2,351,683.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.