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Finding the Third Proportional to 809,847 and 1,771,776

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Solution

The third proportional to 809,847 and 1,771,776 is: 3,876,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,847 : 1,771,776 = 1,771,776 : x
  2. Step 2: Convert to fraction form
    809,847/1,771,776 = 1,771,776/x
  3. Step 3: Cross multiply
    809,847x = 1,771,776 × 1,771,776
  4. Step 4: Simplify right side
    809,847x = 3,139,190,194,176
  5. Step 5: Solve for x
    x = 3,139,190,194,176/809,847
  6. Step 6: Final answer
    x = 3,876,275.63

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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.