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Finding the Third Proportional to 569,684 and 885,636

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Solution

The third proportional to 569,684 and 885,636 is: 1,376,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,684 : 885,636 = 885,636 : x
  2. Step 2: Convert to fraction form
    569,684/885,636 = 885,636/x
  3. Step 3: Cross multiply
    569,684x = 885,636 × 885,636
  4. Step 4: Simplify right side
    569,684x = 784,351,124,496
  5. Step 5: Solve for x
    x = 784,351,124,496/569,684
  6. Step 6: Final answer
    x = 1,376,817.89

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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.