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Finding the Third Proportional to 534,044 and 826,634

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Solution

The third proportional to 534,044 and 826,634 is: 1,279,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,044 : 826,634 = 826,634 : x
  2. Step 2: Convert to fraction form
    534,044/826,634 = 826,634/x
  3. Step 3: Cross multiply
    534,044x = 826,634 × 826,634
  4. Step 4: Simplify right side
    534,044x = 683,323,769,956
  5. Step 5: Solve for x
    x = 683,323,769,956/534,044
  6. Step 6: Final answer
    x = 1,279,527.10

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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.