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Finding the Third Proportional to 678,733 and 1,340,329

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Solution

The third proportional to 678,733 and 1,340,329 is: 2,646,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,733 : 1,340,329 = 1,340,329 : x
  2. Step 2: Convert to fraction form
    678,733/1,340,329 = 1,340,329/x
  3. Step 3: Cross multiply
    678,733x = 1,340,329 × 1,340,329
  4. Step 4: Simplify right side
    678,733x = 1,796,481,828,241
  5. Step 5: Solve for x
    x = 1,796,481,828,241/678,733
  6. Step 6: Final answer
    x = 2,646,816.68

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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.