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Finding the Third Proportional to 679,098 and 1,033,401

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Solution

The third proportional to 679,098 and 1,033,401 is: 1,572,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,098 : 1,033,401 = 1,033,401 : x
  2. Step 2: Convert to fraction form
    679,098/1,033,401 = 1,033,401/x
  3. Step 3: Cross multiply
    679,098x = 1,033,401 × 1,033,401
  4. Step 4: Simplify right side
    679,098x = 1,067,917,626,801
  5. Step 5: Solve for x
    x = 1,067,917,626,801/679,098
  6. Step 6: Final answer
    x = 1,572,553.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.