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Finding the Third Proportional to 557,856 and 886,512

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Solution

The third proportional to 557,856 and 886,512 is: 1,408,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,856 : 886,512 = 886,512 : x
  2. Step 2: Convert to fraction form
    557,856/886,512 = 886,512/x
  3. Step 3: Cross multiply
    557,856x = 886,512 × 886,512
  4. Step 4: Simplify right side
    557,856x = 785,903,526,144
  5. Step 5: Solve for x
    x = 785,903,526,144/557,856
  6. Step 6: Final answer
    x = 1,408,792.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.