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Finding the Third Proportional to 678,828 and 1,340,514

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Solution

The third proportional to 678,828 and 1,340,514 is: 2,647,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,828 : 1,340,514 = 1,340,514 : x
  2. Step 2: Convert to fraction form
    678,828/1,340,514 = 1,340,514/x
  3. Step 3: Cross multiply
    678,828x = 1,340,514 × 1,340,514
  4. Step 4: Simplify right side
    678,828x = 1,796,977,784,196
  5. Step 5: Solve for x
    x = 1,796,977,784,196/678,828
  6. Step 6: Final answer
    x = 2,647,176.88

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.