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Finding the Third Proportional to 824,198 and 1,738,432

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Solution

The third proportional to 824,198 and 1,738,432 is: 3,666,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,198 : 1,738,432 = 1,738,432 : x
  2. Step 2: Convert to fraction form
    824,198/1,738,432 = 1,738,432/x
  3. Step 3: Cross multiply
    824,198x = 1,738,432 × 1,738,432
  4. Step 4: Simplify right side
    824,198x = 3,022,145,818,624
  5. Step 5: Solve for x
    x = 3,022,145,818,624/824,198
  6. Step 6: Final answer
    x = 3,666,771.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.