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Finding the Third Proportional to 961,864 and 2,052,400

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Solution

The third proportional to 961,864 and 2,052,400 is: 4,379,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,864 : 2,052,400 = 2,052,400 : x
  2. Step 2: Convert to fraction form
    961,864/2,052,400 = 2,052,400/x
  3. Step 3: Cross multiply
    961,864x = 2,052,400 × 2,052,400
  4. Step 4: Simplify right side
    961,864x = 4,212,345,760,000
  5. Step 5: Solve for x
    x = 4,212,345,760,000/961,864
  6. Step 6: Final answer
    x = 4,379,356.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.