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Finding the Third Proportional to 1,024,494 and 1,503,525

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Solution

The third proportional to 1,024,494 and 1,503,525 is: 2,206,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,494 : 1,503,525 = 1,503,525 : x
  2. Step 2: Convert to fraction form
    1,024,494/1,503,525 = 1,503,525/x
  3. Step 3: Cross multiply
    1,024,494x = 1,503,525 × 1,503,525
  4. Step 4: Simplify right side
    1,024,494x = 2,260,587,425,625
  5. Step 5: Solve for x
    x = 2,260,587,425,625/1,024,494
  6. Step 6: Final answer
    x = 2,206,540.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.