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Finding the Third Proportional to 409,249 and 892,835

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Solution

The third proportional to 409,249 and 892,835 is: 1,947,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,249 : 892,835 = 892,835 : x
  2. Step 2: Convert to fraction form
    409,249/892,835 = 892,835/x
  3. Step 3: Cross multiply
    409,249x = 892,835 × 892,835
  4. Step 4: Simplify right side
    409,249x = 797,154,337,225
  5. Step 5: Solve for x
    x = 797,154,337,225/409,249
  6. Step 6: Final answer
    x = 1,947,846.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.