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Finding the Third Proportional to 569,824 and 885,817

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Solution

The third proportional to 569,824 and 885,817 is: 1,377,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,824 : 885,817 = 885,817 : x
  2. Step 2: Convert to fraction form
    569,824/885,817 = 885,817/x
  3. Step 3: Cross multiply
    569,824x = 885,817 × 885,817
  4. Step 4: Simplify right side
    569,824x = 784,671,757,489
  5. Step 5: Solve for x
    x = 784,671,757,489/569,824
  6. Step 6: Final answer
    x = 1,377,042.31

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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.