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Finding the Third Proportional to 413,828 and 886,714

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Solution

The third proportional to 413,828 and 886,714 is: 1,899,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,828 : 886,714 = 886,714 : x
  2. Step 2: Convert to fraction form
    413,828/886,714 = 886,714/x
  3. Step 3: Cross multiply
    413,828x = 886,714 × 886,714
  4. Step 4: Simplify right side
    413,828x = 786,261,717,796
  5. Step 5: Solve for x
    x = 786,261,717,796/413,828
  6. Step 6: Final answer
    x = 1,899,972.25

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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.