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Finding the Third Proportional to 569,866 and 885,883

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Solution

The third proportional to 569,866 and 885,883 is: 1,377,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866 : 885,883 = 885,883 : x
  2. Step 2: Convert to fraction form
    569,866/885,883 = 885,883/x
  3. Step 3: Cross multiply
    569,866x = 885,883 × 885,883
  4. Step 4: Simplify right side
    569,866x = 784,788,689,689
  5. Step 5: Solve for x
    x = 784,788,689,689/569,866
  6. Step 6: Final answer
    x = 1,377,146.01

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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.