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Finding the Third Proportional to 807,190 and 1,771,821

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Solution

The third proportional to 807,190 and 1,771,821 is: 3,889,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,190 : 1,771,821 = 1,771,821 : x
  2. Step 2: Convert to fraction form
    807,190/1,771,821 = 1,771,821/x
  3. Step 3: Cross multiply
    807,190x = 1,771,821 × 1,771,821
  4. Step 4: Simplify right side
    807,190x = 3,139,349,656,041
  5. Step 5: Solve for x
    x = 3,139,349,656,041/807,190
  6. Step 6: Final answer
    x = 3,889,232.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.