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Finding the Third Proportional to 456,083 and 978,583

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Solution

The third proportional to 456,083 and 978,583 is: 2,099,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,083 : 978,583 = 978,583 : x
  2. Step 2: Convert to fraction form
    456,083/978,583 = 978,583/x
  3. Step 3: Cross multiply
    456,083x = 978,583 × 978,583
  4. Step 4: Simplify right side
    456,083x = 957,624,687,889
  5. Step 5: Solve for x
    x = 957,624,687,889/456,083
  6. Step 6: Final answer
    x = 2,099,671.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.