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Finding the Third Proportional to 434,471 and 908,667

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Solution

The third proportional to 434,471 and 908,667 is: 1,900,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,471 : 908,667 = 908,667 : x
  2. Step 2: Convert to fraction form
    434,471/908,667 = 908,667/x
  3. Step 3: Cross multiply
    434,471x = 908,667 × 908,667
  4. Step 4: Simplify right side
    434,471x = 825,675,716,889
  5. Step 5: Solve for x
    x = 825,675,716,889/434,471
  6. Step 6: Final answer
    x = 1,900,416.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.