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Finding the Third Proportional to 548,574 and 822,861

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Solution

The third proportional to 548,574 and 822,861 is: 1,234,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,574 : 822,861 = 822,861 : x
  2. Step 2: Convert to fraction form
    548,574/822,861 = 822,861/x
  3. Step 3: Cross multiply
    548,574x = 822,861 × 822,861
  4. Step 4: Simplify right side
    548,574x = 677,100,225,321
  5. Step 5: Solve for x
    x = 677,100,225,321/548,574
  6. Step 6: Final answer
    x = 1,234,291.50

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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.