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Finding the Third Proportional to 454,644 and 957,213

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Solution

The third proportional to 454,644 and 957,213 is: 2,015,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,644 : 957,213 = 957,213 : x
  2. Step 2: Convert to fraction form
    454,644/957,213 = 957,213/x
  3. Step 3: Cross multiply
    454,644x = 957,213 × 957,213
  4. Step 4: Simplify right side
    454,644x = 916,256,727,369
  5. Step 5: Solve for x
    x = 916,256,727,369/454,644
  6. Step 6: Final answer
    x = 2,015,327.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.