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Finding the Third Proportional to 807,769 and 1,642,023

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Solution

The third proportional to 807,769 and 1,642,023 is: 3,337,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,769 : 1,642,023 = 1,642,023 : x
  2. Step 2: Convert to fraction form
    807,769/1,642,023 = 1,642,023/x
  3. Step 3: Cross multiply
    807,769x = 1,642,023 × 1,642,023
  4. Step 4: Simplify right side
    807,769x = 2,696,239,532,529
  5. Step 5: Solve for x
    x = 2,696,239,532,529/807,769
  6. Step 6: Final answer
    x = 3,337,884.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.