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Finding the Third Proportional to 548,072 and 819,873

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Solution

The third proportional to 548,072 and 819,873 is: 1,226,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,072 : 819,873 = 819,873 : x
  2. Step 2: Convert to fraction form
    548,072/819,873 = 819,873/x
  3. Step 3: Cross multiply
    548,072x = 819,873 × 819,873
  4. Step 4: Simplify right side
    548,072x = 672,191,736,129
  5. Step 5: Solve for x
    x = 672,191,736,129/548,072
  6. Step 6: Final answer
    x = 1,226,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.