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Finding the Third Proportional to 449,705 and 957,672

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Solution

The third proportional to 449,705 and 957,672 is: 2,039,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,705 : 957,672 = 957,672 : x
  2. Step 2: Convert to fraction form
    449,705/957,672 = 957,672/x
  3. Step 3: Cross multiply
    449,705x = 957,672 × 957,672
  4. Step 4: Simplify right side
    449,705x = 917,135,659,584
  5. Step 5: Solve for x
    x = 917,135,659,584/449,705
  6. Step 6: Final answer
    x = 2,039,416.19

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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.