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Finding the Third Proportional to 434,467 and 908,658

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Solution

The third proportional to 434,467 and 908,658 is: 1,900,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,467 : 908,658 = 908,658 : x
  2. Step 2: Convert to fraction form
    434,467/908,658 = 908,658/x
  3. Step 3: Cross multiply
    434,467x = 908,658 × 908,658
  4. Step 4: Simplify right side
    434,467x = 825,659,360,964
  5. Step 5: Solve for x
    x = 825,659,360,964/434,467
  6. Step 6: Final answer
    x = 1,900,396.03

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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.