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Finding the Third Proportional to 569,822 and 885,814

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Solution

The third proportional to 569,822 and 885,814 is: 1,377,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,822 : 885,814 = 885,814 : x
  2. Step 2: Convert to fraction form
    569,822/885,814 = 885,814/x
  3. Step 3: Cross multiply
    569,822x = 885,814 × 885,814
  4. Step 4: Simplify right side
    569,822x = 784,666,442,596
  5. Step 5: Solve for x
    x = 784,666,442,596/569,822
  6. Step 6: Final answer
    x = 1,377,037.82

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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.