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Finding the Third Proportional to 803,269 and 1,738,782

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Solution

The third proportional to 803,269 and 1,738,782 is: 3,763,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,269 : 1,738,782 = 1,738,782 : x
  2. Step 2: Convert to fraction form
    803,269/1,738,782 = 1,738,782/x
  3. Step 3: Cross multiply
    803,269x = 1,738,782 × 1,738,782
  4. Step 4: Simplify right side
    803,269x = 3,023,362,843,524
  5. Step 5: Solve for x
    x = 3,023,362,843,524/803,269
  6. Step 6: Final answer
    x = 3,763,823.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.