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Finding the Third Proportional to 548,580 and 822,870

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Solution

The third proportional to 548,580 and 822,870 is: 1,234,305

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,580 : 822,870 = 822,870 : x
  2. Step 2: Convert to fraction form
    548,580/822,870 = 822,870/x
  3. Step 3: Cross multiply
    548,580x = 822,870 × 822,870
  4. Step 4: Simplify right side
    548,580x = 677,115,036,900
  5. Step 5: Solve for x
    x = 677,115,036,900/548,580
  6. Step 6: Final answer
    x = 1,234,305

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