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Finding the Third Proportional to 962,172 and 2,066,496

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Solution

The third proportional to 962,172 and 2,066,496 is: 4,438,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,172 : 2,066,496 = 2,066,496 : x
  2. Step 2: Convert to fraction form
    962,172/2,066,496 = 2,066,496/x
  3. Step 3: Cross multiply
    962,172x = 2,066,496 × 2,066,496
  4. Step 4: Simplify right side
    962,172x = 4,270,405,718,016
  5. Step 5: Solve for x
    x = 4,270,405,718,016/962,172
  6. Step 6: Final answer
    x = 4,438,297.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.