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Finding the Third Proportional to 569,842 and 885,846

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Solution

The third proportional to 569,842 and 885,846 is: 1,377,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,842 : 885,846 = 885,846 : x
  2. Step 2: Convert to fraction form
    569,842/885,846 = 885,846/x
  3. Step 3: Cross multiply
    569,842x = 885,846 × 885,846
  4. Step 4: Simplify right side
    569,842x = 784,723,135,716
  5. Step 5: Solve for x
    x = 784,723,135,716/569,842
  6. Step 6: Final answer
    x = 1,377,088.98

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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.