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Finding the Third Proportional to 594,978 and 906,414

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Solution

The third proportional to 594,978 and 906,414 is: 1,380,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,978 : 906,414 = 906,414 : x
  2. Step 2: Convert to fraction form
    594,978/906,414 = 906,414/x
  3. Step 3: Cross multiply
    594,978x = 906,414 × 906,414
  4. Step 4: Simplify right side
    594,978x = 821,586,339,396
  5. Step 5: Solve for x
    x = 821,586,339,396/594,978
  6. Step 6: Final answer
    x = 1,380,868.43

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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.