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Finding the Third Proportional to 548,268 and 822,402

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Solution

The third proportional to 548,268 and 822,402 is: 1,233,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,268 : 822,402 = 822,402 : x
  2. Step 2: Convert to fraction form
    548,268/822,402 = 822,402/x
  3. Step 3: Cross multiply
    548,268x = 822,402 × 822,402
  4. Step 4: Simplify right side
    548,268x = 676,345,049,604
  5. Step 5: Solve for x
    x = 676,345,049,604/548,268
  6. Step 6: Final answer
    x = 1,233,603

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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.