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Finding the Third Proportional to 569,880 and 885,906

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Solution

The third proportional to 569,880 and 885,906 is: 1,377,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,880 : 885,906 = 885,906 : x
  2. Step 2: Convert to fraction form
    569,880/885,906 = 885,906/x
  3. Step 3: Cross multiply
    569,880x = 885,906 × 885,906
  4. Step 4: Simplify right side
    569,880x = 784,829,440,836
  5. Step 5: Solve for x
    x = 784,829,440,836/569,880
  6. Step 6: Final answer
    x = 1,377,183.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.