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Finding the Third Proportional to 415,960 and 894,966

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Solution

The third proportional to 415,960 and 894,966 is: 1,925,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,960 : 894,966 = 894,966 : x
  2. Step 2: Convert to fraction form
    415,960/894,966 = 894,966/x
  3. Step 3: Cross multiply
    415,960x = 894,966 × 894,966
  4. Step 4: Simplify right side
    415,960x = 800,964,141,156
  5. Step 5: Solve for x
    x = 800,964,141,156/415,960
  6. Step 6: Final answer
    x = 1,925,579.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.