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Finding the Third Proportional to 569,872 and 885,894

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Solution

The third proportional to 569,872 and 885,894 is: 1,377,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,872 : 885,894 = 885,894 : x
  2. Step 2: Convert to fraction form
    569,872/885,894 = 885,894/x
  3. Step 3: Cross multiply
    569,872x = 885,894 × 885,894
  4. Step 4: Simplify right side
    569,872x = 784,808,179,236
  5. Step 5: Solve for x
    x = 784,808,179,236/569,872
  6. Step 6: Final answer
    x = 1,377,165.71

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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.