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Finding the Third Proportional to 413,790 and 886,638

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Solution

The third proportional to 413,790 and 886,638 is: 1,899,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,790 : 886,638 = 886,638 : x
  2. Step 2: Convert to fraction form
    413,790/886,638 = 886,638/x
  3. Step 3: Cross multiply
    413,790x = 886,638 × 886,638
  4. Step 4: Simplify right side
    413,790x = 786,126,943,044
  5. Step 5: Solve for x
    x = 786,126,943,044/413,790
  6. Step 6: Final answer
    x = 1,899,821.03

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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.