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Finding the Third Proportional to 569,826 and 885,820

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Solution

The third proportional to 569,826 and 885,820 is: 1,377,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,826 : 885,820 = 885,820 : x
  2. Step 2: Convert to fraction form
    569,826/885,820 = 885,820/x
  3. Step 3: Cross multiply
    569,826x = 885,820 × 885,820
  4. Step 4: Simplify right side
    569,826x = 784,677,072,400
  5. Step 5: Solve for x
    x = 784,677,072,400/569,826
  6. Step 6: Final answer
    x = 1,377,046.80

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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.