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Finding the Third Proportional to 456,066 and 978,553.50

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Solution

The third proportional to 456,066 and 978,553.50 is: 2,099,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,066 : 978,553.50 = 978,553.50 : x
  2. Step 2: Convert to fraction form
    456,066/978,553.50 = 978,553.50/x
  3. Step 3: Cross multiply
    456,066x = 978,553.50 × 978,553.50
  4. Step 4: Simplify right side
    456,066x = 957,566,952,362.25
  5. Step 5: Solve for x
    x = 957,566,952,362.25/456,066
  6. Step 6: Final answer
    x = 2,099,623.63

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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.