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Finding the Third Proportional to 434,452 and 908,604

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Solution

The third proportional to 434,452 and 908,604 is: 1,900,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,452 : 908,604 = 908,604 : x
  2. Step 2: Convert to fraction form
    434,452/908,604 = 908,604/x
  3. Step 3: Cross multiply
    434,452x = 908,604 × 908,604
  4. Step 4: Simplify right side
    434,452x = 825,561,228,816
  5. Step 5: Solve for x
    x = 825,561,228,816/434,452
  6. Step 6: Final answer
    x = 1,900,235.77

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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.