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Finding the Third Proportional to 819,590 and 1,679,644

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Solution

The third proportional to 819,590 and 1,679,644 is: 3,442,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,590 : 1,679,644 = 1,679,644 : x
  2. Step 2: Convert to fraction form
    819,590/1,679,644 = 1,679,644/x
  3. Step 3: Cross multiply
    819,590x = 1,679,644 × 1,679,644
  4. Step 4: Simplify right side
    819,590x = 2,821,203,966,736
  5. Step 5: Solve for x
    x = 2,821,203,966,736/819,590
  6. Step 6: Final answer
    x = 3,442,213.75

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.