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Finding the Third Proportional to 413,775 and 886,596

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Solution

The third proportional to 413,775 and 886,596 is: 1,899,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,775 : 886,596 = 886,596 : x
  2. Step 2: Convert to fraction form
    413,775/886,596 = 886,596/x
  3. Step 3: Cross multiply
    413,775x = 886,596 × 886,596
  4. Step 4: Simplify right side
    413,775x = 786,052,467,216
  5. Step 5: Solve for x
    x = 786,052,467,216/413,775
  6. Step 6: Final answer
    x = 1,899,709.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.