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Finding the Third Proportional to 908,962 and 1,422,771

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Solution

The third proportional to 908,962 and 1,422,771 is: 2,227,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,962 : 1,422,771 = 1,422,771 : x
  2. Step 2: Convert to fraction form
    908,962/1,422,771 = 1,422,771/x
  3. Step 3: Cross multiply
    908,962x = 1,422,771 × 1,422,771
  4. Step 4: Simplify right side
    908,962x = 2,024,277,318,441
  5. Step 5: Solve for x
    x = 2,024,277,318,441/908,962
  6. Step 6: Final answer
    x = 2,227,020.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.