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Finding the Third Proportional to 569,670 and 885,609

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Solution

The third proportional to 569,670 and 885,609 is: 1,376,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,670 : 885,609 = 885,609 : x
  2. Step 2: Convert to fraction form
    569,670/885,609 = 885,609/x
  3. Step 3: Cross multiply
    569,670x = 885,609 × 885,609
  4. Step 4: Simplify right side
    569,670x = 784,303,300,881
  5. Step 5: Solve for x
    x = 784,303,300,881/569,670
  6. Step 6: Final answer
    x = 1,376,767.78

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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.