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Finding the Third Proportional to 963,566 and 2,142,568

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Solution

The third proportional to 963,566 and 2,142,568 is: 4,764,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,566 : 2,142,568 = 2,142,568 : x
  2. Step 2: Convert to fraction form
    963,566/2,142,568 = 2,142,568/x
  3. Step 3: Cross multiply
    963,566x = 2,142,568 × 2,142,568
  4. Step 4: Simplify right side
    963,566x = 4,590,597,634,624
  5. Step 5: Solve for x
    x = 4,590,597,634,624/963,566
  6. Step 6: Final answer
    x = 4,764,175.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.