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Finding the Third Proportional to 534,045 and 826,636

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Solution

The third proportional to 534,045 and 826,636 is: 1,279,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,045 : 826,636 = 826,636 : x
  2. Step 2: Convert to fraction form
    534,045/826,636 = 826,636/x
  3. Step 3: Cross multiply
    534,045x = 826,636 × 826,636
  4. Step 4: Simplify right side
    534,045x = 683,327,076,496
  5. Step 5: Solve for x
    x = 683,327,076,496/534,045
  6. Step 6: Final answer
    x = 1,279,530.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.