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Finding the Third Proportional to 536,746 and 827,223

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Solution

The third proportional to 536,746 and 827,223 is: 1,274,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,746 : 827,223 = 827,223 : x
  2. Step 2: Convert to fraction form
    536,746/827,223 = 827,223/x
  3. Step 3: Cross multiply
    536,746x = 827,223 × 827,223
  4. Step 4: Simplify right side
    536,746x = 684,297,891,729
  5. Step 5: Solve for x
    x = 684,297,891,729/536,746
  6. Step 6: Final answer
    x = 1,274,900.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.