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Finding the Third Proportional to 655,549 and 1,030,067

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Solution

The third proportional to 655,549 and 1,030,067 is: 1,618,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,549 : 1,030,067 = 1,030,067 : x
  2. Step 2: Convert to fraction form
    655,549/1,030,067 = 1,030,067/x
  3. Step 3: Cross multiply
    655,549x = 1,030,067 × 1,030,067
  4. Step 4: Simplify right side
    655,549x = 1,061,038,024,489
  5. Step 5: Solve for x
    x = 1,061,038,024,489/655,549
  6. Step 6: Final answer
    x = 1,618,548.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.