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Finding the Third Proportional to 569,838 and 885,839

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Solution

The third proportional to 569,838 and 885,839 is: 1,377,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,838 : 885,839 = 885,839 : x
  2. Step 2: Convert to fraction form
    569,838/885,839 = 885,839/x
  3. Step 3: Cross multiply
    569,838x = 885,839 × 885,839
  4. Step 4: Simplify right side
    569,838x = 784,710,733,921
  5. Step 5: Solve for x
    x = 784,710,733,921/569,838
  6. Step 6: Final answer
    x = 1,377,076.88

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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.