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Finding the Third Proportional to 434,493 and 908,712

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Solution

The third proportional to 434,493 and 908,712 is: 1,900,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,493 : 908,712 = 908,712 : x
  2. Step 2: Convert to fraction form
    434,493/908,712 = 908,712/x
  3. Step 3: Cross multiply
    434,493x = 908,712 × 908,712
  4. Step 4: Simplify right side
    434,493x = 825,757,498,944
  5. Step 5: Solve for x
    x = 825,757,498,944/434,493
  6. Step 6: Final answer
    x = 1,900,508.18

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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.