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Finding the Third Proportional to 569,840 and 885,842

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Solution

The third proportional to 569,840 and 885,842 is: 1,377,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,840 : 885,842 = 885,842 : x
  2. Step 2: Convert to fraction form
    569,840/885,842 = 885,842/x
  3. Step 3: Cross multiply
    569,840x = 885,842 × 885,842
  4. Step 4: Simplify right side
    569,840x = 784,716,048,964
  5. Step 5: Solve for x
    x = 784,716,048,964/569,840
  6. Step 6: Final answer
    x = 1,377,081.37

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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.