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Finding the Third Proportional to 455,978 and 984,532

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Solution

The third proportional to 455,978 and 984,532 is: 2,125,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,978 : 984,532 = 984,532 : x
  2. Step 2: Convert to fraction form
    455,978/984,532 = 984,532/x
  3. Step 3: Cross multiply
    455,978x = 984,532 × 984,532
  4. Step 4: Simplify right side
    455,978x = 969,303,259,024
  5. Step 5: Solve for x
    x = 969,303,259,024/455,978
  6. Step 6: Final answer
    x = 2,125,767.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.