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Finding the Third Proportional to 449,696 and 957,654

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Solution

The third proportional to 449,696 and 957,654 is: 2,039,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,696 : 957,654 = 957,654 : x
  2. Step 2: Convert to fraction form
    449,696/957,654 = 957,654/x
  3. Step 3: Cross multiply
    449,696x = 957,654 × 957,654
  4. Step 4: Simplify right side
    449,696x = 917,101,183,716
  5. Step 5: Solve for x
    x = 917,101,183,716/449,696
  6. Step 6: Final answer
    x = 2,039,380.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.