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Finding the Third Proportional to 809,842 and 1,771,769

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Solution

The third proportional to 809,842 and 1,771,769 is: 3,876,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,842 : 1,771,769 = 1,771,769 : x
  2. Step 2: Convert to fraction form
    809,842/1,771,769 = 1,771,769/x
  3. Step 3: Cross multiply
    809,842x = 1,771,769 × 1,771,769
  4. Step 4: Simplify right side
    809,842x = 3,139,165,389,361
  5. Step 5: Solve for x
    x = 3,139,165,389,361/809,842
  6. Step 6: Final answer
    x = 3,876,268.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.