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Finding the Third Proportional to 549,220 and 826,638

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Solution

The third proportional to 549,220 and 826,638 is: 1,244,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,220 : 826,638 = 826,638 : x
  2. Step 2: Convert to fraction form
    549,220/826,638 = 826,638/x
  3. Step 3: Cross multiply
    549,220x = 826,638 × 826,638
  4. Step 4: Simplify right side
    549,220x = 683,330,383,044
  5. Step 5: Solve for x
    x = 683,330,383,044/549,220
  6. Step 6: Final answer
    x = 1,244,183.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.