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Finding the Third Proportional to 796,977 and 1,719,900

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Solution

The third proportional to 796,977 and 1,719,900 is: 3,711,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,977 : 1,719,900 = 1,719,900 : x
  2. Step 2: Convert to fraction form
    796,977/1,719,900 = 1,719,900/x
  3. Step 3: Cross multiply
    796,977x = 1,719,900 × 1,719,900
  4. Step 4: Simplify right side
    796,977x = 2,958,056,010,000
  5. Step 5: Solve for x
    x = 2,958,056,010,000/796,977
  6. Step 6: Final answer
    x = 3,711,595.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.