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Finding the Third Proportional to 534,476 and 859,638

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Solution

The third proportional to 534,476 and 859,638 is: 1,382,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,476 : 859,638 = 859,638 : x
  2. Step 2: Convert to fraction form
    534,476/859,638 = 859,638/x
  3. Step 3: Cross multiply
    534,476x = 859,638 × 859,638
  4. Step 4: Simplify right side
    534,476x = 738,977,491,044
  5. Step 5: Solve for x
    x = 738,977,491,044/534,476
  6. Step 6: Final answer
    x = 1,382,620.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.