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Finding the Third Proportional to 820,941 and 1,796,508

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Solution

The third proportional to 820,941 and 1,796,508 is: 3,931,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,941 : 1,796,508 = 1,796,508 : x
  2. Step 2: Convert to fraction form
    820,941/1,796,508 = 1,796,508/x
  3. Step 3: Cross multiply
    820,941x = 1,796,508 × 1,796,508
  4. Step 4: Simplify right side
    820,941x = 3,227,440,994,064
  5. Step 5: Solve for x
    x = 3,227,440,994,064/820,941
  6. Step 6: Final answer
    x = 3,931,392.14

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