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Finding the Third Proportional to 413,789 and 886,636

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Solution

The third proportional to 413,789 and 886,636 is: 1,899,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,789 : 886,636 = 886,636 : x
  2. Step 2: Convert to fraction form
    413,789/886,636 = 886,636/x
  3. Step 3: Cross multiply
    413,789x = 886,636 × 886,636
  4. Step 4: Simplify right side
    413,789x = 786,123,396,496
  5. Step 5: Solve for x
    x = 786,123,396,496/413,789
  6. Step 6: Final answer
    x = 1,899,817.05

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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.