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Finding the Third Proportional to 548,666 and 1,321,655

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Solution

The third proportional to 548,666 and 1,321,655 is: 3,183,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,666 : 1,321,655 = 1,321,655 : x
  2. Step 2: Convert to fraction form
    548,666/1,321,655 = 1,321,655/x
  3. Step 3: Cross multiply
    548,666x = 1,321,655 × 1,321,655
  4. Step 4: Simplify right side
    548,666x = 1,746,771,939,025
  5. Step 5: Solve for x
    x = 1,746,771,939,025/548,666
  6. Step 6: Final answer
    x = 3,183,670.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.