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Finding the Third Proportional to 679,096 and 1,033,398

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Solution

The third proportional to 679,096 and 1,033,398 is: 1,572,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,096 : 1,033,398 = 1,033,398 : x
  2. Step 2: Convert to fraction form
    679,096/1,033,398 = 1,033,398/x
  3. Step 3: Cross multiply
    679,096x = 1,033,398 × 1,033,398
  4. Step 4: Simplify right side
    679,096x = 1,067,911,426,404
  5. Step 5: Solve for x
    x = 1,067,911,426,404/679,096
  6. Step 6: Final answer
    x = 1,572,548.54

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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.