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Finding the Third Proportional to 413,834 and 886,724

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Solution

The third proportional to 413,834 and 886,724 is: 1,899,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,834 : 886,724 = 886,724 : x
  2. Step 2: Convert to fraction form
    413,834/886,724 = 886,724/x
  3. Step 3: Cross multiply
    413,834x = 886,724 × 886,724
  4. Step 4: Simplify right side
    413,834x = 786,279,452,176
  5. Step 5: Solve for x
    x = 786,279,452,176/413,834
  6. Step 6: Final answer
    x = 1,899,987.56

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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.