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Finding the Third Proportional to 407,846 and 885,756

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Solution

The third proportional to 407,846 and 885,756 is: 1,923,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,846 : 885,756 = 885,756 : x
  2. Step 2: Convert to fraction form
    407,846/885,756 = 885,756/x
  3. Step 3: Cross multiply
    407,846x = 885,756 × 885,756
  4. Step 4: Simplify right side
    407,846x = 784,563,691,536
  5. Step 5: Solve for x
    x = 784,563,691,536/407,846
  6. Step 6: Final answer
    x = 1,923,676.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.