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Finding the Third Proportional to 566,667 and 1,233,025

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Solution

The third proportional to 566,667 and 1,233,025 is: 2,682,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,667 : 1,233,025 = 1,233,025 : x
  2. Step 2: Convert to fraction form
    566,667/1,233,025 = 1,233,025/x
  3. Step 3: Cross multiply
    566,667x = 1,233,025 × 1,233,025
  4. Step 4: Simplify right side
    566,667x = 1,520,350,650,625
  5. Step 5: Solve for x
    x = 1,520,350,650,625/566,667
  6. Step 6: Final answer
    x = 2,682,970.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.