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Finding the Third Proportional to 548,982 and 1,167,948

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Solution

The third proportional to 548,982 and 1,167,948 is: 2,484,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,982 : 1,167,948 = 1,167,948 : x
  2. Step 2: Convert to fraction form
    548,982/1,167,948 = 1,167,948/x
  3. Step 3: Cross multiply
    548,982x = 1,167,948 × 1,167,948
  4. Step 4: Simplify right side
    548,982x = 1,364,102,530,704
  5. Step 5: Solve for x
    x = 1,364,102,530,704/548,982
  6. Step 6: Final answer
    x = 2,484,785.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.