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Finding the Third Proportional to 456,089 and 978,595

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Solution

The third proportional to 456,089 and 978,595 is: 2,099,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,089 : 978,595 = 978,595 : x
  2. Step 2: Convert to fraction form
    456,089/978,595 = 978,595/x
  3. Step 3: Cross multiply
    456,089x = 978,595 × 978,595
  4. Step 4: Simplify right side
    456,089x = 957,648,174,025
  5. Step 5: Solve for x
    x = 957,648,174,025/456,089
  6. Step 6: Final answer
    x = 2,099,695.84

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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.