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Finding the Third Proportional to 569,836 and 885,836

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Solution

The third proportional to 569,836 and 885,836 is: 1,377,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,836 : 885,836 = 885,836 : x
  2. Step 2: Convert to fraction form
    569,836/885,836 = 885,836/x
  3. Step 3: Cross multiply
    569,836x = 885,836 × 885,836
  4. Step 4: Simplify right side
    569,836x = 784,705,418,896
  5. Step 5: Solve for x
    x = 784,705,418,896/569,836
  6. Step 6: Final answer
    x = 1,377,072.38

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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.