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Finding the Third Proportional to 946,514 and 2,052,727

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Solution

The third proportional to 946,514 and 2,052,727 is: 4,451,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,514 : 2,052,727 = 2,052,727 : x
  2. Step 2: Convert to fraction form
    946,514/2,052,727 = 2,052,727/x
  3. Step 3: Cross multiply
    946,514x = 2,052,727 × 2,052,727
  4. Step 4: Simplify right side
    946,514x = 4,213,688,136,529
  5. Step 5: Solve for x
    x = 4,213,688,136,529/946,514
  6. Step 6: Final answer
    x = 4,451,796.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.