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Finding the Third Proportional to 569,866 and 885,884

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Solution

The third proportional to 569,866 and 885,884 is: 1,377,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866 : 885,884 = 885,884 : x
  2. Step 2: Convert to fraction form
    569,866/885,884 = 885,884/x
  3. Step 3: Cross multiply
    569,866x = 885,884 × 885,884
  4. Step 4: Simplify right side
    569,866x = 784,790,461,456
  5. Step 5: Solve for x
    x = 784,790,461,456/569,866
  6. Step 6: Final answer
    x = 1,377,149.12

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