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Finding the Third Proportional to 548,594 and 822,892

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Solution

The third proportional to 548,594 and 822,892 is: 1,234,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,594 : 822,892 = 822,892 : x
  2. Step 2: Convert to fraction form
    548,594/822,892 = 822,892/x
  3. Step 3: Cross multiply
    548,594x = 822,892 × 822,892
  4. Step 4: Simplify right side
    548,594x = 677,151,243,664
  5. Step 5: Solve for x
    x = 677,151,243,664/548,594
  6. Step 6: Final answer
    x = 1,234,339.50

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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.